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Directions: Answer the questions based on the information given below.
Sonia deposited Rs. 20 and Rs. 50 notes in her piggy bank on different days of the month and used to count total number of Rs. 20 and Rs. 50 notes deposited by her in the piggy bank at the end of the month. The bar graph given below shows the percentage by which number of Rs. 50 notes in the piggy bank was more/less than number of Rs. 20 notes at the end of the given months. (Note: +ve value shows more while –ve value shows less)
Added Information:
1. Number of Rs. 20 notes deposited in February was 42(6/7)% of total notes deposited in the same month.
2. Number of Rs. 50 notes deposited in February and March together is 35(5/13)% less than number of Rs. 20 notes deposited in February and March together.
3. Number of Rs. 20 notes deposited in April and March together is 80 more than total number of Rs. 20 notes deposited at the end of February.
4. If number of Rs. 20 notes deposited in April would have been 160 more, then number of Rs. 50 notes deposited in April would have been 26% more than number of Rs. 20 notes deposited.
5. Number of Rs. 50 notes deposited in April was 6 times more than number of Rs. 50 notes deposited in May.
6. Number of Rs. 20 notes deposited in June was 50% more than that deposited in May.
Sonia deposited Rs. 20 and Rs. 50 notes in her piggy bank on different days of the month and used to count total number of Rs. 20 and Rs. 50 notes deposited by her in the piggy bank at the end of the month. The bar graph given below shows the percentage by which number of Rs. 50 notes in the piggy bank was more/less than number of Rs. 20 notes at the end of the given months. (Note: +ve value shows more while –ve value shows less)
Added Information:
1. Number of Rs. 20 notes deposited in February was 42(6/7)% of total notes deposited in the same month.
2. Number of Rs. 50 notes deposited in February and March together is 35(5/13)% less than number of Rs. 20 notes deposited in February and March together.
3. Number of Rs. 20 notes deposited in April and March together is 80 more than total number of Rs. 20 notes deposited at the end of February.
4. If number of Rs. 20 notes deposited in April would have been 160 more, then number of Rs. 50 notes deposited in April would have been 26% more than number of Rs. 20 notes deposited.
5. Number of Rs. 50 notes deposited in April was 6 times more than number of Rs. 50 notes deposited in May.
6. Number of Rs. 20 notes deposited in June was 50% more than that deposited in May.
Question: 1
Total amount of money deposited in February was:
Total amount of money deposited in February was:
Updated On: Sep 13, 2024
- Rs. 13200
- Rs. 4000
- Rs. 5200
- Rs. 12000
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Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct option is (C): Rs. 5200.
Let number of Rs. 20 notes deposited in January be ‘5a’
So, number of Rs. 50 notes deposited in January = 1.20 × 5a = ‘6a’
Let number of Rs. 20 notes deposited till February be ‘4b’
So, number of Rs. 50 notes deposited till February = 1.25 × 4b = 5b
Let number of Rs. 20 notes deposited till March be ‘5c’
So, number of Rs. 50 notes deposited till March = 0.80 × 5c = Rs. ‘4c’
Let number of Rs. 20 notes deposited till April be ‘20d’
So, number of Rs. 50 notes deposited till April = 1.35 × 20d = ‘27d’
Let number of Rs. 20 notes deposited till May be ‘10e’
So, number of Rs. 50 notes deposited till May = 0.90 × 10e = ‘9e’
Let number of Rs. 20 notes deposited till June be ‘5f’
So, number of Rs. 50 notes deposited till June = 0.80 × 5f = ‘4f’
Let total number of notes deposited in February be 700x
So, number of Rs. 20 notes deposited in February = 42(\(\frac{6}{7}\))% of 700x =300x
So, ratio of number of Rs. 20 notes and Rs. 50 notes deposited in
February, respectively = 300x:400x = 3:4
Or,\( \frac{(4b – 5a)}{(5b – 6a) }\)=\(\frac{3}{4}\)
Or, 16b – 20a = 15b – 18a
Or, b = 2a
Let number of Rs. 20 notes deposited in February and March together is
650y
So, Number of Rs. 50 notes deposited in February and March together =
42/65 × 650y = 420y
So, Ratio of Rs. 20 notes and Rs. 50 notes deposited in February and
March together = 650y:420y = 65:42
So, {\(\frac{4b – 5a + 5c – 4b}{5b – 6a + 4c – 5b}\)} = \(\frac{65}{42}\)
Or, \(\frac{(5c – 5a)}{(4c – 6a) }\)= \(\frac{65}{42}\)
Or, \(\frac{(c – a)}{(2c – 3a)}\) =\(\frac{13}{21}\)
Or, 21c – 21a = 26c – 39a
Or, 5c = 18a
20d – 5c + 5c – 4b = 80 + 5a + 4b – 5a
Or, 20d – 4b = 80 + 4b
Or, 20d = 80 + 8b
Or, 20d = 80 + 8 × 2a
Or, 20d = 80 + 16a
And, 1.26 × (20d – 5c + 160) = 27d – 4c
Or, 25.2d – 6.3c + 201.6 = 27d – 4c
Or, 1.8d + 2.3c = 201.6
Or, 1.8 × \(\frac{(80 + 16a)}{20}\) + 2.3 × \(\frac{18a}{5}\) = 201.6
Or, 0.09(80 + 16a) + 8.28a = 201.6
Or, 7.2 + 1.44a + 8.28a = 201.6
Or, 9.72a = 194.4
Or, a = 20
And, b = 2 × 20 = 40
And, c = 18 × \(\frac{20}{5}\) = 72
And, d =\(\frac{ (80 + 16 × 20)}{20}\) = 20
So, number of Rs. 20 notes deposited in January = 5 × 20 = 100
Number of Rs. 50 notes deposited in January = 6 × 20 = 120
Number of Rs. 20 notes deposited in February = 4 × 40 – 5 × 20 = 60
Number of Rs. 50 notes deposited in February = 5 × 40 – 6 × 20 = 80
Number of Rs. 20 notes deposited in March = 5 × 72 – 4 × 40 = 200
Number of Rs. 50 notes deposited in March = 4 × 72 – 5 × 40 = 88
Number of Rs. 20 notes deposited in April = 20 × 20 – 5 × 72 = 40
Number of Rs. 50 notes deposited in April = 27 × 20 – 4 × 72 = 252
So, 9e – 27d =\( \frac{252}{7}\) = 36
Or, 9e = 36 + 27 × 20
Or, e = 64
So, Number of Rs. 20 notes deposited in May = 10 × 64 – 20 × 20 = 240
Number of Rs. 50 notes deposited in May = 36
And, number of Rs. 20 notes deposited in June = 1.50 × 240 = 360
So, 5f – 10e = 360
Or, 5f = 360 + 10 × 64 = 1000
Or, f = 200
So, number of Rs. 50 notes deposited in June = 4 × 200 – 9 × 64 = 224
Desired amount = 60 × 20 + 80 × 50 = 1200 + 4000 = Rs. 5200.
Let number of Rs. 20 notes deposited in January be ‘5a’
So, number of Rs. 50 notes deposited in January = 1.20 × 5a = ‘6a’
Let number of Rs. 20 notes deposited till February be ‘4b’
So, number of Rs. 50 notes deposited till February = 1.25 × 4b = 5b
Let number of Rs. 20 notes deposited till March be ‘5c’
So, number of Rs. 50 notes deposited till March = 0.80 × 5c = Rs. ‘4c’
Let number of Rs. 20 notes deposited till April be ‘20d’
So, number of Rs. 50 notes deposited till April = 1.35 × 20d = ‘27d’
Let number of Rs. 20 notes deposited till May be ‘10e’
So, number of Rs. 50 notes deposited till May = 0.90 × 10e = ‘9e’
Let number of Rs. 20 notes deposited till June be ‘5f’
So, number of Rs. 50 notes deposited till June = 0.80 × 5f = ‘4f’
| Months | Number of Rs. 20 notes deposited | Number of Rs. 50 notes deposited |
| In January | 5a | 6a |
| In February | 4b – 5a | 5b – 6a |
| In March | 5c – 4b | 4c – 5b |
| In April | 20d – 5c | 27d – 4c |
| In May | 10e – 20d | 9e – 27d |
| In June | 5f – 10e | 4f – 9e |
So, number of Rs. 20 notes deposited in February = 42(\(\frac{6}{7}\))% of 700x =300x
So, ratio of number of Rs. 20 notes and Rs. 50 notes deposited in
February, respectively = 300x:400x = 3:4
Or,\( \frac{(4b – 5a)}{(5b – 6a) }\)=\(\frac{3}{4}\)
Or, 16b – 20a = 15b – 18a
Or, b = 2a
Let number of Rs. 20 notes deposited in February and March together is
650y
So, Number of Rs. 50 notes deposited in February and March together =
42/65 × 650y = 420y
So, Ratio of Rs. 20 notes and Rs. 50 notes deposited in February and
March together = 650y:420y = 65:42
So, {\(\frac{4b – 5a + 5c – 4b}{5b – 6a + 4c – 5b}\)} = \(\frac{65}{42}\)
Or, \(\frac{(5c – 5a)}{(4c – 6a) }\)= \(\frac{65}{42}\)
Or, \(\frac{(c – a)}{(2c – 3a)}\) =\(\frac{13}{21}\)
Or, 21c – 21a = 26c – 39a
Or, 5c = 18a
20d – 5c + 5c – 4b = 80 + 5a + 4b – 5a
Or, 20d – 4b = 80 + 4b
Or, 20d = 80 + 8b
Or, 20d = 80 + 8 × 2a
Or, 20d = 80 + 16a
And, 1.26 × (20d – 5c + 160) = 27d – 4c
Or, 25.2d – 6.3c + 201.6 = 27d – 4c
Or, 1.8d + 2.3c = 201.6
Or, 1.8 × \(\frac{(80 + 16a)}{20}\) + 2.3 × \(\frac{18a}{5}\) = 201.6
Or, 0.09(80 + 16a) + 8.28a = 201.6
Or, 7.2 + 1.44a + 8.28a = 201.6
Or, 9.72a = 194.4
Or, a = 20
And, b = 2 × 20 = 40
And, c = 18 × \(\frac{20}{5}\) = 72
And, d =\(\frac{ (80 + 16 × 20)}{20}\) = 20
So, number of Rs. 20 notes deposited in January = 5 × 20 = 100
Number of Rs. 50 notes deposited in January = 6 × 20 = 120
Number of Rs. 20 notes deposited in February = 4 × 40 – 5 × 20 = 60
Number of Rs. 50 notes deposited in February = 5 × 40 – 6 × 20 = 80
Number of Rs. 20 notes deposited in March = 5 × 72 – 4 × 40 = 200
Number of Rs. 50 notes deposited in March = 4 × 72 – 5 × 40 = 88
Number of Rs. 20 notes deposited in April = 20 × 20 – 5 × 72 = 40
Number of Rs. 50 notes deposited in April = 27 × 20 – 4 × 72 = 252
So, 9e – 27d =\( \frac{252}{7}\) = 36
Or, 9e = 36 + 27 × 20
Or, e = 64
So, Number of Rs. 20 notes deposited in May = 10 × 64 – 20 × 20 = 240
Number of Rs. 50 notes deposited in May = 36
And, number of Rs. 20 notes deposited in June = 1.50 × 240 = 360
So, 5f – 10e = 360
Or, 5f = 360 + 10 × 64 = 1000
Or, f = 200
So, number of Rs. 50 notes deposited in June = 4 × 200 – 9 × 64 = 224
| Months | Number of Rs. 20 notes deposited | Number of Rs. 50 notes deposited |
| In January | 100 | 120 |
| In February | 60 | 80 |
| In March | 200 | 88 |
| In April | 40 | 252 |
| In May | 240 | 36 |
| In June | 360 | 224 |
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Question: 2
Ratio of Rs. 20 to Rs. 50 notes deposited in May is:
Ratio of Rs. 20 to Rs. 50 notes deposited in May is:
Updated On: Sep 13, 2024
- 63:10
- 20:3
- 25:11
- 10:9
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The Correct Option is B
Solution and Explanation
The correct option is (B): 20:3.
Let number of Rs. 20 notes deposited in January be ‘5a’
So, number of Rs. 50 notes deposited in January = 1.20 × 5a = ‘6a’
Let number of Rs. 20 notes deposited till February be ‘4b’
So, number of Rs. 50 notes deposited till February = 1.25 × 4b = 5b
Let number of Rs. 20 notes deposited till March be ‘5c’
So, number of Rs. 50 notes deposited till March = 0.80 × 5c = Rs. ‘4c’
Let number of Rs. 20 notes deposited till April be ‘20d’
So, number of Rs. 50 notes deposited till April = 1.35 × 20d = ‘27d’
Let number of Rs. 20 notes deposited till May be ‘10e’
So, number of Rs. 50 notes deposited till May = 0.90 × 10e = ‘9e’
Let number of Rs. 20 notes deposited till June be ‘5f’
So, number of Rs. 50 notes deposited till June = 0.80 × 5f = ‘4f’
Let total number of notes deposited in February be 700x
So, number of Rs. 20 notes deposited in February = 42(\(\frac{6}{7}\))% of 700x =300x
So, ratio of number of Rs. 20 notes and Rs. 50 notes deposited in
February, respectively = 300x:400x = 3:4
Or,\( \frac{(4b – 5a)}{(5b – 6a) }\)=\(\frac{3}{4}\)
Or, 16b – 20a = 15b – 18a
Or, b = 2a
Let number of Rs. 20 notes deposited in February and March together is
650y
So, Number of Rs. 50 notes deposited in February and March together =
42/65 × 650y = 420y
So, Ratio of Rs. 20 notes and Rs. 50 notes deposited in February and
March together = 650y:420y = 65:42
So, {\(\frac{4b – 5a + 5c – 4b}{5b – 6a + 4c – 5b}\)} = \(\frac{65}{42}\)
Or, \(\frac{(5c – 5a)}{(4c – 6a) }\)= \(\frac{65}{42}\)
Or, \(\frac{(c – a)}{(2c – 3a)}\) =\(\frac{13}{21}\)
Or, 21c – 21a = 26c – 39a
Or, 5c = 18a
20d – 5c + 5c – 4b = 80 + 5a + 4b – 5a
Or, 20d – 4b = 80 + 4b
Or, 20d = 80 + 8b
Or, 20d = 80 + 8 × 2a
Or, 20d = 80 + 16a
And, 1.26 × (20d – 5c + 160) = 27d – 4c
Or, 25.2d – 6.3c + 201.6 = 27d – 4c
Or, 1.8d + 2.3c = 201.6
Or, 1.8 × \(\frac{(80 + 16a)}{20}\) + 2.3 × \(\frac{18a}{5}\) = 201.6
Or, 0.09(80 + 16a) + 8.28a = 201.6
Or, 7.2 + 1.44a + 8.28a = 201.6
Or, 9.72a = 194.4
Or, a = 20
And, b = 2 × 20 = 40
And, c = 18 × \(\frac{20}{5}\) = 72
And, d =\(\frac{ (80 + 16 × 20)}{20}\) = 20
So, number of Rs. 20 notes deposited in January = 5 × 20 = 100
Number of Rs. 50 notes deposited in January = 6 × 20 = 120
Number of Rs. 20 notes deposited in February = 4 × 40 – 5 × 20 = 60
Number of Rs. 50 notes deposited in February = 5 × 40 – 6 × 20 = 80
Number of Rs. 20 notes deposited in March = 5 × 72 – 4 × 40 = 200
Number of Rs. 50 notes deposited in March = 4 × 72 – 5 × 40 = 88
Number of Rs. 20 notes deposited in April = 20 × 20 – 5 × 72 = 40
Number of Rs. 50 notes deposited in April = 27 × 20 – 4 × 72 = 252
So, 9e – 27d =\( \frac{252}{7}\) = 36
Or, 9e = 36 + 27 × 20
Or, e = 64
So, Number of Rs. 20 notes deposited in May = 10 × 64 – 20 × 20 = 240
Number of Rs. 50 notes deposited in May = 36
And, number of Rs. 20 notes deposited in June = 1.50 × 240 = 360
So, 5f – 10e = 360
Or, 5f = 360 + 10 × 64 = 1000
Or, f = 200
So, number of Rs. 50 notes deposited in June = 4 × 200 – 9 × 64 = 224
Desired ratio = 240:36 = 20:3.
Let number of Rs. 20 notes deposited in January be ‘5a’
So, number of Rs. 50 notes deposited in January = 1.20 × 5a = ‘6a’
Let number of Rs. 20 notes deposited till February be ‘4b’
So, number of Rs. 50 notes deposited till February = 1.25 × 4b = 5b
Let number of Rs. 20 notes deposited till March be ‘5c’
So, number of Rs. 50 notes deposited till March = 0.80 × 5c = Rs. ‘4c’
Let number of Rs. 20 notes deposited till April be ‘20d’
So, number of Rs. 50 notes deposited till April = 1.35 × 20d = ‘27d’
Let number of Rs. 20 notes deposited till May be ‘10e’
So, number of Rs. 50 notes deposited till May = 0.90 × 10e = ‘9e’
Let number of Rs. 20 notes deposited till June be ‘5f’
So, number of Rs. 50 notes deposited till June = 0.80 × 5f = ‘4f’
| Months | Number of Rs. 20 notes deposited | Number of Rs. 50 notes deposited |
| In January | 5a | 6a |
| In February | 4b – 5a | 5b – 6a |
| In March | 5c – 4b | 4c – 5b |
| In April | 20d – 5c | 27d – 4c |
| In May | 10e – 20d | 9e – 27d |
| In June | 5f – 10e | 4f – 9e |
So, number of Rs. 20 notes deposited in February = 42(\(\frac{6}{7}\))% of 700x =300x
So, ratio of number of Rs. 20 notes and Rs. 50 notes deposited in
February, respectively = 300x:400x = 3:4
Or,\( \frac{(4b – 5a)}{(5b – 6a) }\)=\(\frac{3}{4}\)
Or, 16b – 20a = 15b – 18a
Or, b = 2a
Let number of Rs. 20 notes deposited in February and March together is
650y
So, Number of Rs. 50 notes deposited in February and March together =
42/65 × 650y = 420y
So, Ratio of Rs. 20 notes and Rs. 50 notes deposited in February and
March together = 650y:420y = 65:42
So, {\(\frac{4b – 5a + 5c – 4b}{5b – 6a + 4c – 5b}\)} = \(\frac{65}{42}\)
Or, \(\frac{(5c – 5a)}{(4c – 6a) }\)= \(\frac{65}{42}\)
Or, \(\frac{(c – a)}{(2c – 3a)}\) =\(\frac{13}{21}\)
Or, 21c – 21a = 26c – 39a
Or, 5c = 18a
20d – 5c + 5c – 4b = 80 + 5a + 4b – 5a
Or, 20d – 4b = 80 + 4b
Or, 20d = 80 + 8b
Or, 20d = 80 + 8 × 2a
Or, 20d = 80 + 16a
And, 1.26 × (20d – 5c + 160) = 27d – 4c
Or, 25.2d – 6.3c + 201.6 = 27d – 4c
Or, 1.8d + 2.3c = 201.6
Or, 1.8 × \(\frac{(80 + 16a)}{20}\) + 2.3 × \(\frac{18a}{5}\) = 201.6
Or, 0.09(80 + 16a) + 8.28a = 201.6
Or, 7.2 + 1.44a + 8.28a = 201.6
Or, 9.72a = 194.4
Or, a = 20
And, b = 2 × 20 = 40
And, c = 18 × \(\frac{20}{5}\) = 72
And, d =\(\frac{ (80 + 16 × 20)}{20}\) = 20
So, number of Rs. 20 notes deposited in January = 5 × 20 = 100
Number of Rs. 50 notes deposited in January = 6 × 20 = 120
Number of Rs. 20 notes deposited in February = 4 × 40 – 5 × 20 = 60
Number of Rs. 50 notes deposited in February = 5 × 40 – 6 × 20 = 80
Number of Rs. 20 notes deposited in March = 5 × 72 – 4 × 40 = 200
Number of Rs. 50 notes deposited in March = 4 × 72 – 5 × 40 = 88
Number of Rs. 20 notes deposited in April = 20 × 20 – 5 × 72 = 40
Number of Rs. 50 notes deposited in April = 27 × 20 – 4 × 72 = 252
So, 9e – 27d =\( \frac{252}{7}\) = 36
Or, 9e = 36 + 27 × 20
Or, e = 64
So, Number of Rs. 20 notes deposited in May = 10 × 64 – 20 × 20 = 240
Number of Rs. 50 notes deposited in May = 36
And, number of Rs. 20 notes deposited in June = 1.50 × 240 = 360
So, 5f – 10e = 360
Or, 5f = 360 + 10 × 64 = 1000
Or, f = 200
So, number of Rs. 50 notes deposited in June = 4 × 200 – 9 × 64 = 224
| Months | Number of Rs. 20 notes deposited | Number of Rs. 50 notes deposited |
| In January | 100 | 120 |
| In February | 60 | 80 |
| In March | 200 | 88 |
| In April | 40 | 252 |
| In May | 240 | 36 |
| In June | 360 | 224 |
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Question: 3
Number of Rs. 50 notes deposited in April was:
Number of Rs. 50 notes deposited in April was:
Updated On: Sep 13, 2024
- 1200
- 1600
- 2000
- 1800
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The Correct Option is D
Solution and Explanation
The correct option is (D): 1800.
Let number of Rs. 20 notes deposited in January be ‘5a’
So, number of Rs. 50 notes deposited in January = 1.20 × 5a = ‘6a’
Let number of Rs. 20 notes deposited till February be ‘4b’
So, number of Rs. 50 notes deposited till February = 1.25 × 4b = 5b
Let number of Rs. 20 notes deposited till March be ‘5c’
So, number of Rs. 50 notes deposited till March = 0.80 × 5c = Rs. ‘4c’
Let number of Rs. 20 notes deposited till April be ‘20d’
So, number of Rs. 50 notes deposited till April = 1.35 × 20d = ‘27d’
Let number of Rs. 20 notes deposited till May be ‘10e’
So, number of Rs. 50 notes deposited till May = 0.90 × 10e = ‘9e’
Let number of Rs. 20 notes deposited till June be ‘5f’
So, number of Rs. 50 notes deposited till June = 0.80 × 5f = ‘4f’
Let total number of notes deposited in February be 700x
So, number of Rs. 20 notes deposited in February = 42(\(\frac{6}{7}\))% of 700x =300x
So, ratio of number of Rs. 20 notes and Rs. 50 notes deposited in
February, respectively = 300x:400x = 3:4
Or,\( \frac{(4b – 5a)}{(5b – 6a) }\)=\(\frac{3}{4}\)
Or, 16b – 20a = 15b – 18a
Or, b = 2a
Let number of Rs. 20 notes deposited in February and March together is
650y
So, Number of Rs. 50 notes deposited in February and March together =
42/65 × 650y = 420y
So, Ratio of Rs. 20 notes and Rs. 50 notes deposited in February and
March together = 650y:420y = 65:42
So, {\(\frac{4b – 5a + 5c – 4b}{5b – 6a + 4c – 5b}\)} = \(\frac{65}{42}\)
Or, \(\frac{(5c – 5a)}{(4c – 6a) }\)= \(\frac{65}{42}\)
Or, \(\frac{(c – a)}{(2c – 3a)}\) =\(\frac{13}{21}\)
Or, 21c – 21a = 26c – 39a
Or, 5c = 18a
20d – 5c + 5c – 4b = 80 + 5a + 4b – 5a
Or, 20d – 4b = 80 + 4b
Or, 20d = 80 + 8b
Or, 20d = 80 + 8 × 2a
Or, 20d = 80 + 16a
And, 1.26 × (20d – 5c + 160) = 27d – 4c
Or, 25.2d – 6.3c + 201.6 = 27d – 4c
Or, 1.8d + 2.3c = 201.6
Or, 1.8 × \(\frac{(80 + 16a)}{20}\) + 2.3 × \(\frac{18a}{5}\) = 201.6
Or, 0.09(80 + 16a) + 8.28a = 201.6
Or, 7.2 + 1.44a + 8.28a = 201.6
Or, 9.72a = 194.4
Or, a = 20
And, b = 2 × 20 = 40
And, c = 18 × \(\frac{20}{5}\) = 72
And, d =\(\frac{ (80 + 16 × 20)}{20}\) = 20
So, number of Rs. 20 notes deposited in January = 5 × 20 = 100
Number of Rs. 50 notes deposited in January = 6 × 20 = 120
Number of Rs. 20 notes deposited in February = 4 × 40 – 5 × 20 = 60
Number of Rs. 50 notes deposited in February = 5 × 40 – 6 × 20 = 80
Number of Rs. 20 notes deposited in March = 5 × 72 – 4 × 40 = 200
Number of Rs. 50 notes deposited in March = 4 × 72 – 5 × 40 = 88
Number of Rs. 20 notes deposited in April = 20 × 20 – 5 × 72 = 40
Number of Rs. 50 notes deposited in April = 27 × 20 – 4 × 72 = 252
So, 9e – 27d =\( \frac{252}{7}\) = 36
Or, 9e = 36 + 27 × 20
Or, e = 64
So, Number of Rs. 20 notes deposited in May = 10 × 64 – 20 × 20 = 240
Number of Rs. 50 notes deposited in May = 36
And, number of Rs. 20 notes deposited in June = 1.50 × 240 = 360
So, 5f – 10e = 360
Or, 5f = 360 + 10 × 64 = 1000
Or, f = 200
So, number of Rs. 50 notes deposited in June = 4 × 200 – 9 × 64 = 224
Total number of notes deposited by Sonia = 1000 + 800 = 1800.
Let number of Rs. 20 notes deposited in January be ‘5a’
So, number of Rs. 50 notes deposited in January = 1.20 × 5a = ‘6a’
Let number of Rs. 20 notes deposited till February be ‘4b’
So, number of Rs. 50 notes deposited till February = 1.25 × 4b = 5b
Let number of Rs. 20 notes deposited till March be ‘5c’
So, number of Rs. 50 notes deposited till March = 0.80 × 5c = Rs. ‘4c’
Let number of Rs. 20 notes deposited till April be ‘20d’
So, number of Rs. 50 notes deposited till April = 1.35 × 20d = ‘27d’
Let number of Rs. 20 notes deposited till May be ‘10e’
So, number of Rs. 50 notes deposited till May = 0.90 × 10e = ‘9e’
Let number of Rs. 20 notes deposited till June be ‘5f’
So, number of Rs. 50 notes deposited till June = 0.80 × 5f = ‘4f’
| Months | Number of Rs. 20 notes deposited | Number of Rs. 50 notes deposited |
| In January | 5a | 6a |
| In February | 4b – 5a | 5b – 6a |
| In March | 5c – 4b | 4c – 5b |
| In April | 20d – 5c | 27d – 4c |
| In May | 10e – 20d | 9e – 27d |
| In June | 5f – 10e | 4f – 9e |
So, number of Rs. 20 notes deposited in February = 42(\(\frac{6}{7}\))% of 700x =300x
So, ratio of number of Rs. 20 notes and Rs. 50 notes deposited in
February, respectively = 300x:400x = 3:4
Or,\( \frac{(4b – 5a)}{(5b – 6a) }\)=\(\frac{3}{4}\)
Or, 16b – 20a = 15b – 18a
Or, b = 2a
Let number of Rs. 20 notes deposited in February and March together is
650y
So, Number of Rs. 50 notes deposited in February and March together =
42/65 × 650y = 420y
So, Ratio of Rs. 20 notes and Rs. 50 notes deposited in February and
March together = 650y:420y = 65:42
So, {\(\frac{4b – 5a + 5c – 4b}{5b – 6a + 4c – 5b}\)} = \(\frac{65}{42}\)
Or, \(\frac{(5c – 5a)}{(4c – 6a) }\)= \(\frac{65}{42}\)
Or, \(\frac{(c – a)}{(2c – 3a)}\) =\(\frac{13}{21}\)
Or, 21c – 21a = 26c – 39a
Or, 5c = 18a
20d – 5c + 5c – 4b = 80 + 5a + 4b – 5a
Or, 20d – 4b = 80 + 4b
Or, 20d = 80 + 8b
Or, 20d = 80 + 8 × 2a
Or, 20d = 80 + 16a
And, 1.26 × (20d – 5c + 160) = 27d – 4c
Or, 25.2d – 6.3c + 201.6 = 27d – 4c
Or, 1.8d + 2.3c = 201.6
Or, 1.8 × \(\frac{(80 + 16a)}{20}\) + 2.3 × \(\frac{18a}{5}\) = 201.6
Or, 0.09(80 + 16a) + 8.28a = 201.6
Or, 7.2 + 1.44a + 8.28a = 201.6
Or, 9.72a = 194.4
Or, a = 20
And, b = 2 × 20 = 40
And, c = 18 × \(\frac{20}{5}\) = 72
And, d =\(\frac{ (80 + 16 × 20)}{20}\) = 20
So, number of Rs. 20 notes deposited in January = 5 × 20 = 100
Number of Rs. 50 notes deposited in January = 6 × 20 = 120
Number of Rs. 20 notes deposited in February = 4 × 40 – 5 × 20 = 60
Number of Rs. 50 notes deposited in February = 5 × 40 – 6 × 20 = 80
Number of Rs. 20 notes deposited in March = 5 × 72 – 4 × 40 = 200
Number of Rs. 50 notes deposited in March = 4 × 72 – 5 × 40 = 88
Number of Rs. 20 notes deposited in April = 20 × 20 – 5 × 72 = 40
Number of Rs. 50 notes deposited in April = 27 × 20 – 4 × 72 = 252
So, 9e – 27d =\( \frac{252}{7}\) = 36
Or, 9e = 36 + 27 × 20
Or, e = 64
So, Number of Rs. 20 notes deposited in May = 10 × 64 – 20 × 20 = 240
Number of Rs. 50 notes deposited in May = 36
And, number of Rs. 20 notes deposited in June = 1.50 × 240 = 360
So, 5f – 10e = 360
Or, 5f = 360 + 10 × 64 = 1000
Or, f = 200
So, number of Rs. 50 notes deposited in June = 4 × 200 – 9 × 64 = 224
| Months | Number of Rs. 20 notes deposited | Number of Rs. 50 notes deposited |
| In January | 100 | 120 |
| In February | 60 | 80 |
| In March | 200 | 88 |
| In April | 40 | 252 |
| In May | 240 | 36 |
| In June | 360 | 224 |
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Question: 4
Number of Rs. 20 notes deposited in May was how much percent more/less than that in March?
Number of Rs. 20 notes deposited in May was how much percent more/less than that in March?
Updated On: Sep 13, 2024
- 20%
- 25%
- 77(7/9) %
- 33(1/3) %
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The Correct Option is A
Solution and Explanation
The correct option is (A): 20%.
Let number of Rs. 20 notes deposited in January be ‘5a’
So, number of Rs. 50 notes deposited in January = 1.20 × 5a = ‘6a’
Let number of Rs. 20 notes deposited till February be ‘4b’
So, number of Rs. 50 notes deposited till February = 1.25 × 4b = 5b
Let number of Rs. 20 notes deposited till March be ‘5c’
So, number of Rs. 50 notes deposited till March = 0.80 × 5c = Rs. ‘4c’
Let number of Rs. 20 notes deposited till April be ‘20d’
So, number of Rs. 50 notes deposited till April = 1.35 × 20d = ‘27d’
Let number of Rs. 20 notes deposited till May be ‘10e’
So, number of Rs. 50 notes deposited till May = 0.90 × 10e = ‘9e’
Let number of Rs. 20 notes deposited till June be ‘5f’
So, number of Rs. 50 notes deposited till June = 0.80 × 5f = ‘4f’
Let total number of notes deposited in February be 700x
So, number of Rs. 20 notes deposited in February = 42(\(\frac{6}{7}\))% of 700x =300x
So, ratio of number of Rs. 20 notes and Rs. 50 notes deposited in
February, respectively = 300x:400x = 3:4
Or,\( \frac{(4b – 5a)}{(5b – 6a) }\)=\(\frac{3}{4}\)
Or, 16b – 20a = 15b – 18a
Or, b = 2a
Let number of Rs. 20 notes deposited in February and March together is
650y
So, Number of Rs. 50 notes deposited in February and March together =
42/65 × 650y = 420y
So, Ratio of Rs. 20 notes and Rs. 50 notes deposited in February and
March together = 650y:420y = 65:42
So, {\(\frac{4b – 5a + 5c – 4b}{5b – 6a + 4c – 5b}\)} = \(\frac{65}{42}\)
Or, \(\frac{(5c – 5a)}{(4c – 6a) }\)= \(\frac{65}{42}\)
Or, \(\frac{(c – a)}{(2c – 3a)}\) =\(\frac{13}{21}\)
Or, 21c – 21a = 26c – 39a
Or, 5c = 18a
20d – 5c + 5c – 4b = 80 + 5a + 4b – 5a
Or, 20d – 4b = 80 + 4b
Or, 20d = 80 + 8b
Or, 20d = 80 + 8 × 2a
Or, 20d = 80 + 16a
And, 1.26 × (20d – 5c + 160) = 27d – 4c
Or, 25.2d – 6.3c + 201.6 = 27d – 4c
Or, 1.8d + 2.3c = 201.6
Or, 1.8 × \(\frac{(80 + 16a)}{20}\) + 2.3 × \(\frac{18a}{5}\) = 201.6
Or, 0.09(80 + 16a) + 8.28a = 201.6
Or, 7.2 + 1.44a + 8.28a = 201.6
Or, 9.72a = 194.4
Or, a = 20
And, b = 2 × 20 = 40
And, c = 18 × \(\frac{20}{5}\) = 72
And, d =\(\frac{ (80 + 16 × 20)}{20}\) = 20
So, number of Rs. 20 notes deposited in January = 5 × 20 = 100
Number of Rs. 50 notes deposited in January = 6 × 20 = 120
Number of Rs. 20 notes deposited in February = 4 × 40 – 5 × 20 = 60
Number of Rs. 50 notes deposited in February = 5 × 40 – 6 × 20 = 80
Number of Rs. 20 notes deposited in March = 5 × 72 – 4 × 40 = 200
Number of Rs. 50 notes deposited in March = 4 × 72 – 5 × 40 = 88
Number of Rs. 20 notes deposited in April = 20 × 20 – 5 × 72 = 40
Number of Rs. 50 notes deposited in April = 27 × 20 – 4 × 72 = 252
So, 9e – 27d =\( \frac{252}{7}\) = 36
Or, 9e = 36 + 27 × 20
Or, e = 64
So, Number of Rs. 20 notes deposited in May = 10 × 64 – 20 × 20 = 240
Number of Rs. 50 notes deposited in May = 36
And, number of Rs. 20 notes deposited in June = 1.50 × 240 = 360
So, 5f – 10e = 360
Or, 5f = 360 + 10 × 64 = 1000
Or, f = 200
So, number of Rs. 50 notes deposited in June = 4 × 200 – 9 × 64 = 224
Desired percentage = [\(\frac{(240 – 200)}{200}\)] × 100 = 20%
Let number of Rs. 20 notes deposited in January be ‘5a’
So, number of Rs. 50 notes deposited in January = 1.20 × 5a = ‘6a’
Let number of Rs. 20 notes deposited till February be ‘4b’
So, number of Rs. 50 notes deposited till February = 1.25 × 4b = 5b
Let number of Rs. 20 notes deposited till March be ‘5c’
So, number of Rs. 50 notes deposited till March = 0.80 × 5c = Rs. ‘4c’
Let number of Rs. 20 notes deposited till April be ‘20d’
So, number of Rs. 50 notes deposited till April = 1.35 × 20d = ‘27d’
Let number of Rs. 20 notes deposited till May be ‘10e’
So, number of Rs. 50 notes deposited till May = 0.90 × 10e = ‘9e’
Let number of Rs. 20 notes deposited till June be ‘5f’
So, number of Rs. 50 notes deposited till June = 0.80 × 5f = ‘4f’
| Months | Number of Rs. 20 notes deposited | Number of Rs. 50 notes deposited |
| In January | 5a | 6a |
| In February | 4b – 5a | 5b – 6a |
| In March | 5c – 4b | 4c – 5b |
| In April | 20d – 5c | 27d – 4c |
| In May | 10e – 20d | 9e – 27d |
| In June | 5f – 10e | 4f – 9e |
So, number of Rs. 20 notes deposited in February = 42(\(\frac{6}{7}\))% of 700x =300x
So, ratio of number of Rs. 20 notes and Rs. 50 notes deposited in
February, respectively = 300x:400x = 3:4
Or,\( \frac{(4b – 5a)}{(5b – 6a) }\)=\(\frac{3}{4}\)
Or, 16b – 20a = 15b – 18a
Or, b = 2a
Let number of Rs. 20 notes deposited in February and March together is
650y
So, Number of Rs. 50 notes deposited in February and March together =
42/65 × 650y = 420y
So, Ratio of Rs. 20 notes and Rs. 50 notes deposited in February and
March together = 650y:420y = 65:42
So, {\(\frac{4b – 5a + 5c – 4b}{5b – 6a + 4c – 5b}\)} = \(\frac{65}{42}\)
Or, \(\frac{(5c – 5a)}{(4c – 6a) }\)= \(\frac{65}{42}\)
Or, \(\frac{(c – a)}{(2c – 3a)}\) =\(\frac{13}{21}\)
Or, 21c – 21a = 26c – 39a
Or, 5c = 18a
20d – 5c + 5c – 4b = 80 + 5a + 4b – 5a
Or, 20d – 4b = 80 + 4b
Or, 20d = 80 + 8b
Or, 20d = 80 + 8 × 2a
Or, 20d = 80 + 16a
And, 1.26 × (20d – 5c + 160) = 27d – 4c
Or, 25.2d – 6.3c + 201.6 = 27d – 4c
Or, 1.8d + 2.3c = 201.6
Or, 1.8 × \(\frac{(80 + 16a)}{20}\) + 2.3 × \(\frac{18a}{5}\) = 201.6
Or, 0.09(80 + 16a) + 8.28a = 201.6
Or, 7.2 + 1.44a + 8.28a = 201.6
Or, 9.72a = 194.4
Or, a = 20
And, b = 2 × 20 = 40
And, c = 18 × \(\frac{20}{5}\) = 72
And, d =\(\frac{ (80 + 16 × 20)}{20}\) = 20
So, number of Rs. 20 notes deposited in January = 5 × 20 = 100
Number of Rs. 50 notes deposited in January = 6 × 20 = 120
Number of Rs. 20 notes deposited in February = 4 × 40 – 5 × 20 = 60
Number of Rs. 50 notes deposited in February = 5 × 40 – 6 × 20 = 80
Number of Rs. 20 notes deposited in March = 5 × 72 – 4 × 40 = 200
Number of Rs. 50 notes deposited in March = 4 × 72 – 5 × 40 = 88
Number of Rs. 20 notes deposited in April = 20 × 20 – 5 × 72 = 40
Number of Rs. 50 notes deposited in April = 27 × 20 – 4 × 72 = 252
So, 9e – 27d =\( \frac{252}{7}\) = 36
Or, 9e = 36 + 27 × 20
Or, e = 64
So, Number of Rs. 20 notes deposited in May = 10 × 64 – 20 × 20 = 240
Number of Rs. 50 notes deposited in May = 36
And, number of Rs. 20 notes deposited in June = 1.50 × 240 = 360
So, 5f – 10e = 360
Or, 5f = 360 + 10 × 64 = 1000
Or, f = 200
So, number of Rs. 50 notes deposited in June = 4 × 200 – 9 × 64 = 224
| Months | Number of Rs. 20 notes deposited | Number of Rs. 50 notes deposited |
| In January | 100 | 120 |
| In February | 60 | 80 |
| In March | 200 | 88 |
| In April | 40 | 252 |
| In May | 240 | 36 |
| In June | 360 | 224 |
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Question: 5
Number of Rs. 50 notes deposited in April was:
Number of Rs. 50 notes deposited in April was:
Updated On: Sep 13, 2024
- 40
- 240
- 224
- 252
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The Correct Option is D
Solution and Explanation
The correct option is (D): 252.
Let number of Rs. 20 notes deposited in January be ‘5a’
So, number of Rs. 50 notes deposited in January = 1.20 × 5a = ‘6a’
Let number of Rs. 20 notes deposited till February be ‘4b’
So, number of Rs. 50 notes deposited till February = 1.25 × 4b = 5b
Let number of Rs. 20 notes deposited till March be ‘5c’
So, number of Rs. 50 notes deposited till March = 0.80 × 5c = Rs. ‘4c’
Let number of Rs. 20 notes deposited till April be ‘20d’
So, number of Rs. 50 notes deposited till April = 1.35 × 20d = ‘27d’
Let number of Rs. 20 notes deposited till May be ‘10e’
So, number of Rs. 50 notes deposited till May = 0.90 × 10e = ‘9e’
Let number of Rs. 20 notes deposited till June be ‘5f’
So, number of Rs. 50 notes deposited till June = 0.80 × 5f = ‘4f’
Let total number of notes deposited in February be 700x
So, number of Rs. 20 notes deposited in February = 42(\(\frac{6}{7}\))% of 700x =300x
So, ratio of number of Rs. 20 notes and Rs. 50 notes deposited in
February, respectively = 300x:400x = 3:4
Or,\( \frac{(4b – 5a)}{(5b – 6a) }\)=\(\frac{3}{4}\)
Or, 16b – 20a = 15b – 18a
Or, b = 2a
Let number of Rs. 20 notes deposited in February and March together is
650y
So, Number of Rs. 50 notes deposited in February and March together =
42/65 × 650y = 420y
So, Ratio of Rs. 20 notes and Rs. 50 notes deposited in February and
March together = 650y:420y = 65:42
So, {\(\frac{4b – 5a + 5c – 4b}{5b – 6a + 4c – 5b}\)} = \(\frac{65}{42}\)
Or, \(\frac{(5c – 5a)}{(4c – 6a) }\)= \(\frac{65}{42}\)
Or, \(\frac{(c – a)}{(2c – 3a)}\) =\(\frac{13}{21}\)
Or, 21c – 21a = 26c – 39a
Or, 5c = 18a
20d – 5c + 5c – 4b = 80 + 5a + 4b – 5a
Or, 20d – 4b = 80 + 4b
Or, 20d = 80 + 8b
Or, 20d = 80 + 8 × 2a
Or, 20d = 80 + 16a
And, 1.26 × (20d – 5c + 160) = 27d – 4c
Or, 25.2d – 6.3c + 201.6 = 27d – 4c
Or, 1.8d + 2.3c = 201.6
Or, 1.8 × \(\frac{(80 + 16a)}{20}\) + 2.3 × \(\frac{18a}{5}\) = 201.6
Or, 0.09(80 + 16a) + 8.28a = 201.6
Or, 7.2 + 1.44a + 8.28a = 201.6
Or, 9.72a = 194.4
Or, a = 20
And, b = 2 × 20 = 40
And, c = 18 × \(\frac{20}{5}\) = 72
And, d =\(\frac{ (80 + 16 × 20)}{20}\) = 20
So, number of Rs. 20 notes deposited in January = 5 × 20 = 100
Number of Rs. 50 notes deposited in January = 6 × 20 = 120
Number of Rs. 20 notes deposited in February = 4 × 40 – 5 × 20 = 60
Number of Rs. 50 notes deposited in February = 5 × 40 – 6 × 20 = 80
Number of Rs. 20 notes deposited in March = 5 × 72 – 4 × 40 = 200
Number of Rs. 50 notes deposited in March = 4 × 72 – 5 × 40 = 88
Number of Rs. 20 notes deposited in April = 20 × 20 – 5 × 72 = 40
Number of Rs. 50 notes deposited in April = 27 × 20 – 4 × 72 = 252
So, 9e – 27d =\( \frac{252}{7}\) = 36
Or, 9e = 36 + 27 × 20
Or, e = 64
So, Number of Rs. 20 notes deposited in May = 10 × 64 – 20 × 20 = 240
Number of Rs. 50 notes deposited in May = 36
And, number of Rs. 20 notes deposited in June = 1.50 × 240 = 360
So, 5f – 10e = 360
Or, 5f = 360 + 10 × 64 = 1000
Or, f = 200
So, number of Rs. 50 notes deposited in June = 4 × 200 – 9 × 64 = 224
Number of Rs. 50 notes deposited in April = 252.
Let number of Rs. 20 notes deposited in January be ‘5a’
So, number of Rs. 50 notes deposited in January = 1.20 × 5a = ‘6a’
Let number of Rs. 20 notes deposited till February be ‘4b’
So, number of Rs. 50 notes deposited till February = 1.25 × 4b = 5b
Let number of Rs. 20 notes deposited till March be ‘5c’
So, number of Rs. 50 notes deposited till March = 0.80 × 5c = Rs. ‘4c’
Let number of Rs. 20 notes deposited till April be ‘20d’
So, number of Rs. 50 notes deposited till April = 1.35 × 20d = ‘27d’
Let number of Rs. 20 notes deposited till May be ‘10e’
So, number of Rs. 50 notes deposited till May = 0.90 × 10e = ‘9e’
Let number of Rs. 20 notes deposited till June be ‘5f’
So, number of Rs. 50 notes deposited till June = 0.80 × 5f = ‘4f’
| Months | Number of Rs. 20 notes deposited | Number of Rs. 50 notes deposited |
| In January | 5a | 6a |
| In February | 4b – 5a | 5b – 6a |
| In March | 5c – 4b | 4c – 5b |
| In April | 20d – 5c | 27d – 4c |
| In May | 10e – 20d | 9e – 27d |
| In June | 5f – 10e | 4f – 9e |
So, number of Rs. 20 notes deposited in February = 42(\(\frac{6}{7}\))% of 700x =300x
So, ratio of number of Rs. 20 notes and Rs. 50 notes deposited in
February, respectively = 300x:400x = 3:4
Or,\( \frac{(4b – 5a)}{(5b – 6a) }\)=\(\frac{3}{4}\)
Or, 16b – 20a = 15b – 18a
Or, b = 2a
Let number of Rs. 20 notes deposited in February and March together is
650y
So, Number of Rs. 50 notes deposited in February and March together =
42/65 × 650y = 420y
So, Ratio of Rs. 20 notes and Rs. 50 notes deposited in February and
March together = 650y:420y = 65:42
So, {\(\frac{4b – 5a + 5c – 4b}{5b – 6a + 4c – 5b}\)} = \(\frac{65}{42}\)
Or, \(\frac{(5c – 5a)}{(4c – 6a) }\)= \(\frac{65}{42}\)
Or, \(\frac{(c – a)}{(2c – 3a)}\) =\(\frac{13}{21}\)
Or, 21c – 21a = 26c – 39a
Or, 5c = 18a
20d – 5c + 5c – 4b = 80 + 5a + 4b – 5a
Or, 20d – 4b = 80 + 4b
Or, 20d = 80 + 8b
Or, 20d = 80 + 8 × 2a
Or, 20d = 80 + 16a
And, 1.26 × (20d – 5c + 160) = 27d – 4c
Or, 25.2d – 6.3c + 201.6 = 27d – 4c
Or, 1.8d + 2.3c = 201.6
Or, 1.8 × \(\frac{(80 + 16a)}{20}\) + 2.3 × \(\frac{18a}{5}\) = 201.6
Or, 0.09(80 + 16a) + 8.28a = 201.6
Or, 7.2 + 1.44a + 8.28a = 201.6
Or, 9.72a = 194.4
Or, a = 20
And, b = 2 × 20 = 40
And, c = 18 × \(\frac{20}{5}\) = 72
And, d =\(\frac{ (80 + 16 × 20)}{20}\) = 20
So, number of Rs. 20 notes deposited in January = 5 × 20 = 100
Number of Rs. 50 notes deposited in January = 6 × 20 = 120
Number of Rs. 20 notes deposited in February = 4 × 40 – 5 × 20 = 60
Number of Rs. 50 notes deposited in February = 5 × 40 – 6 × 20 = 80
Number of Rs. 20 notes deposited in March = 5 × 72 – 4 × 40 = 200
Number of Rs. 50 notes deposited in March = 4 × 72 – 5 × 40 = 88
Number of Rs. 20 notes deposited in April = 20 × 20 – 5 × 72 = 40
Number of Rs. 50 notes deposited in April = 27 × 20 – 4 × 72 = 252
So, 9e – 27d =\( \frac{252}{7}\) = 36
Or, 9e = 36 + 27 × 20
Or, e = 64
So, Number of Rs. 20 notes deposited in May = 10 × 64 – 20 × 20 = 240
Number of Rs. 50 notes deposited in May = 36
And, number of Rs. 20 notes deposited in June = 1.50 × 240 = 360
So, 5f – 10e = 360
Or, 5f = 360 + 10 × 64 = 1000
Or, f = 200
So, number of Rs. 50 notes deposited in June = 4 × 200 – 9 × 64 = 224
| Months | Number of Rs. 20 notes deposited | Number of Rs. 50 notes deposited |
| In January | 100 | 120 |
| In February | 60 | 80 |
| In March | 200 | 88 |
| In April | 40 | 252 |
| In May | 240 | 36 |
| In June | 360 | 224 |
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