Comprehension

Directions:
The given pie chart shows the spending by a family on various items during the year 2001. Study the graph and answer the questions that follow. 

Family Expenditure During the Year 2001 

 

ItemExpenditure
Miscellaneous\(20\%\)
Saving\(15\%\)
Food\(23\%\)
Clothes\(10\%\)
House Planning\(15\%\)
Education\(12\%\)
Transportation\(5\%\)
Total\(100\%\)
Question: 1

If the total amount spent during the year 2001 was Rs. 46000, the amount spent on food was

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Food expenditure $= 0.23 \times 46000 = \text{Rs. } 10,580$.
  • Rs. 2,000
  • Rs. 10,580
  • Rs. 23,000
  • Rs. 2,300
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The Correct Option is B

Solution and Explanation

Step 1: Understanding the Concept:
From the pie chart, the proportion allocated to food expenditure is identified and multiplied by total spending.

Step 2: Key Formula or Approach:

From the pie chart, the percentage spent on Food is $23\%$.
Total annual expenditure $=$ Rs. $46,000$.
Amount spent on food:
\[\text{Food Expenditure} = 23\% \text{ of } 46000 = \frac{23}{100} \times 46000\]

Step 3: Detailed Explanation:

Calculating the product:
\[23 \times 460 = \text{Rs. } 10,580\]

Step 4: Final Answer:

Hence, the amount spent on food was Rs. 10,580.
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Question: 2

If total amount spent was Rs. 46000, how much was spent on clothing and housing together?

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Combined share $= 10\% + 15\% = 25\% = \frac{1}{4}$. Amount $= \frac{46000}{4} = \text{Rs. } 11,500$.
  • Rs. 11,500
  • Rs. 1,150
  • Rs. 10,000
  • Rs. 15,000
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The Correct Option is A

Solution and Explanation

Step 1: Understanding the Concept:
Combining the percentage shares of the specified spending categories and computing the total expenditure.

Step 2: Key Formula or Approach:

From the pie chart:
- Spending on Clothing $= 10\%$
- Spending on House Planning Housing $= 15\%$
Combined percentage share:
\[\text{Combined Share} = 10\% + 15\% = 25\%\]

Step 3: Detailed Explanation:

Total amount spent on clothing and housing together:
\[\text{Amount} = 25\% \text{ of } 46000 = \frac{1}{4} \times 46000 = \text{Rs. } 11,500\]

Step 4: Final Answer:

Therefore, the amount spent on clothing and housing together was Rs. 11,500.
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Question: 3

The ratio of the total amount of money spent on housing to that spent on education was

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Ratio $= 15 : 12 = 5 : 4$.
  • 5:2
  • 2:5
  • 4:5
  • 5:4
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The Correct Option is D

Solution and Explanation

Step 1: Understanding the Concept:
The ratio of expenditures between two categories equals the ratio of their respective percentage allocations.

Step 2: Key Formula or Approach:

From the pie chart:
- Percentage allocation for Housing $= 15\%$
- Percentage allocation for Education $= 12\%$

Step 3: Detailed Explanation:

Forming and simplifying the ratio:
\[\text{Ratio} = \frac{15\%}{12\%} = \frac{15}{12} = \frac{5}{4} = 5:4\]

Step 4: Final Answer:

Hence, the ratio of money spent on housing to education was 5:4.
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Question: 4

Graph shows that the maximum amount was spent on

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Food has the largest percentage slice ($23\%$), representing the single highest expenditure category.
  • Food
  • Housing
  • Clothing
  • Others
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The Correct Option is A

Solution and Explanation

Step 1: Understanding the Concept:
The category with the largest central angle percentage sector in the pie chart represents the maximum expenditure.

Step 2: Detailed Explanation:

Comparing expenditure percentages across all categories from the chart:
- Food: $23\%$
- Miscellaneous: $20\%$
- Housing: $15\%$
- Saving: $15\%$
- Education: $12\%$
- Clothes: $10\%$
- Transportation: $5\%$
The highest single expenditure percentage is Food at $23\%$.

Step 3: Final Answer:

Therefore, the maximum amount was spent on Food.
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Question: 5

If the total expenditure of the year 2001 was Rs. 46000 the family saved during the year

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Savings $= 15\% \text{ of } 46000 = 0.15 \times 46000 = \text{Rs. } 6,900$.
  • Rs. 1,500
  • Rs. 15,000
  • Rs. 6,900
  • Rs. 5,000
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The Correct Option is C

Solution and Explanation

Step 1: Understanding the Concept:
Savings amount is computed by multiplying the total expenditure by the percentage share of savings.

Step 2: Key Formula or Approach:

From the pie chart, the percentage share allocated to Saving is $15\%$.
Total baseline amount $=$ Rs. $46,000$.
Calculating total savings:
\[\text{Saving} = 15\% \text{ of } 46000 = \frac{15}{100} \times 46000\]

Step 3: Detailed Explanation:

Performing the multiplication:
\[15 \times 460 = \text{Rs. } 6,900\]

Step 4: Final Answer:

Thus, the family saved Rs. 6,900 during the year.
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