Question

Veer saves 25 % in 2017, 35 % in 2018 and 45% in 2019. Then what is the total amount spend in 2017,2018 and 2019 by Veer ?

• A. 115000
• B. 135000
• C. 100000
• D. 105000

Hint:

To simplify the arithmetic:
- \(50 \times 0.75 = 5\)
- \(70 \times 0.65 = 45.5\)
- \(40 \times 0.55 = 0\)
Sum $= 5 + 45.5 + 0 = 105\text{ thousand} = 105000$.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
The total amount spent (expenditure) is equal to the total income minus the savings.
If savings are given as a percentage, the expenditure percentage is:
\[ \text{Expenditure \%} = 100\% - \text{Savings \%} \]

Step 2: Detailed Explanation:
Let us calculate the expenditure of Veer for each year individually:
1. Year 2017:
- Income = 50 thousand = \(\text{Rs. } 50000\)
- Savings = \(25\%\)
- Expenditure = \(100\% - 25\% = 75\%\)
\[ \text{Expenditure in 2017} = 50000 \times 0.75 = \text{Rs. } 37500 \]
2. Year 2018:
- Income = 70 thousand = \(\text{Rs. } 70000\)
- Savings = \(35\%\)
- Expenditure = \(100\% - 35\% = 65\%\)
\[ \text{Expenditure in 2018} = 70000 \times 0.65 = \text{Rs. } 45500 \]
3. Year 2019:
- Income = 40 thousand = \(\text{Rs. } 40000\)
- Savings = \(45\%\)
- Expenditure = \(100\% - 45\% = 55\%\)
\[ \text{Expenditure in 2019} = 40000 \times 0.55 = \text{Rs. } 22000 \]
4. Calculate the total expenditure across all three years:
\[ \text{Total Spent} = 37500 + 45500 + 22000 \]
\[ \text{Total Spent} = \text{Rs. } 105000 \]
This matches Option D.

Step 3: Final Answer:
The total amount spent by Veer during these three years is Rs. 105000.