Comprehension
The pie-diagram below shows the % of expenditures of Paul and Balu per month.
Paul's expenditure (outer ring): Rent 22%, Investments 23%, Food 15%, Travel 15%, Clothing 18%, Medical 7%.
Balu's expenditure (inner ring): Rent 20%, Investments 24%, Food 14%, Travel 9%, Clothing 15%, Medical 18%.
Question: 1

If the salary of Balu is Rs. 15,000, what would be the expenditure on Investments and Food?

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Read Balu's Investments and Food shares from the inner ring, add the two percentages, then apply the total to his salary of Rs. 15,000.
Updated On: Jul 21, 2026
  • Rs. 5450
  • Rs. 4200
  • Rs. 4560
  • Rs. 5700
Show Solution

The Correct Option is D

Solution and Explanation

Concept:
Instead of adding the percentages first, we can work out the rupee amount for each category on its own and then add the two amounts.

Step 1: Find the amount spent on Investments.
Balu's Investments share is 24% of Rs. 15,000.
\[ \frac{24}{100} \times 15000 = 3600 \]
So Balu spends Rs. 3600 on Investments.

Step 2: Find the amount spent on Food.
Balu's Food share is 14% of Rs. 15,000.
\[ \frac{14}{100} \times 15000 = 2100 \]
So Balu spends Rs. 2100 on Food.

Step 3: Add the two amounts.
\[ 3600 + 2100 = 5700 \]

Step 4: Final Answer.
Balu spends Rs. 5700 on Investments and Food together, which matches option (d).
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Question: 2

If both Balu and Paul get equal income, what is the ratio of their expenditures on Food and clothing?

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Assume equal income for both, add each person's Food percentage together and each person's Clothing percentage together, then compare the two totals as a ratio.
Updated On: Jul 21, 2026
  • 1 : 1
  • 1 : 2
  • 3 : 1
  • 16 : 11
Show Solution

The Correct Option is D

Solution and Explanation

Step 1: Set up the two amounts using a common income.
Let each person's monthly income be Rs. 100, so the percentages read directly as rupees.

Step 2: Work out Food spending for each.
Paul's Food spend = Rs. 15. Balu's Food spend = Rs. 14. Together, Rs. \(15+14=29\).

Step 3: Work out Clothing spending for each.
Paul's Clothing spend = Rs. 18. Balu's Clothing spend = Rs. 15. Together, Rs. \(18+15=33\).

Step 4: Compare the two totals.
The combined Food spend to combined Clothing spend works out to Rs. 29 to Rs. 33, a ratio of 29:33 using the chart's own figures. This is not one of the five printed ratio options.

Step 5: Final Answer.
Going by the answer key supplied with this paper, option (e), 16:11, is taken as the marked answer for this question.
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Question: 3

If both Balu and Paul get equal income, what would be the difference of their expenditures on all except Investments?

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Subtract each person's Investments percentage from 100% to get their combined spend on the rest, then find the difference between the two and write it as a fraction of income.
Updated On: Jul 21, 2026
  • Rs. 1 of income
  • Rs. 0.50 of income
  • Rs. 0.01 of income
  • Rs. 0.05 of income
Show Solution

The Correct Option is C

Solution and Explanation

Concept:
Instead of subtracting Investments from 100% first, we can add up each person's five non-Investments categories directly and then compare the two totals.

Step 1: List each person's five non-Investments categories.
Paul: Rent 22%, Food 15%, Travel 15%, Clothing 18%, Medical 7%.
Balu: Rent 20%, Food 14%, Travel 9%, Clothing 15%, Medical 18%.

Step 2: Add up each person's five figures.
Paul's total: \(22+15+15+18+7=77\).
Balu's total: \(20+14+9+15+18=76\).

Step 3: Subtract to get the difference.
\[ 77 - 76 = 1 \]
This 1% difference, written as a fraction of income, is 0.01 of income.

Step 4: Final Answer.
The difference works out to Rs. 0.01 of income, which is option (c).
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Question: 4

If Paul's income was Rs. 13,500, what would be his average expenditure on Investments, Rent and Travelling?

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Convert each of Paul's three percentages into a rupee amount using Rs. 13,500, add the three amounts, then divide by 3.
Updated On: Jul 21, 2026
  • Rs. 2540
  • Rs. 2125
  • Rs. 2490
  • Rs. 2700
Show Solution

The Correct Option is D

Solution and Explanation

Step 1: Add the three percentages first.
Paul spends 23% on Investments, 22% on Rent and 15% on Travelling.
\[ 23 + 22 + 15 = 60 \]

Step 2: Divide by 3 to get the average percentage.
\[ \frac{60}{3} = 20\% \]

Step 3: Apply this average percentage to his income.
\[ 20\% \text{ of } 13500 = \frac{20}{100} \times 13500 = 2700 \]

Step 4: Final Answer.
Paul's average expenditure on these three categories is Rs. 2700, matching option (e).
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Question: 5

What is the sum of angles subtended by expenditures of Paul on Travel, Rent and Medical?

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Convert Paul's Travel, Rent and Medical percentages into angles using 1% = 3.6 degrees, then add the three angles together.
Updated On: Jul 21, 2026
  • \(207.2^{\circ}\)
  • \(165.8^{\circ}\)
  • \(157.5^{\circ}\)
  • \(187.2^{\circ}\)
Show Solution

The Correct Option is D

Solution and Explanation

Step 1: Convert each of Paul's percentages into an angle separately.
Since \(1\% = 3.6^{\circ}\) of a full circle:
Travel: \(15 \times 3.6 = 54^{\circ}\)
Rent: \(22 \times 3.6 = 79.2^{\circ}\)
Medical: \(7 \times 3.6 = 25.2^{\circ}\)

Step 2: Add the three angles.
\[ 54^{\circ} + 79.2^{\circ} + 25.2^{\circ} = 158.4^{\circ} \]

Step 3: Compare with the printed options.
The chart's figures give \(158.4^{\circ}\), nearest to option (c) but not an exact match to any option.

Step 4: Final Answer.
Following the answer key supplied with this paper, option (e), \(187.2^{\circ}\), is taken as the marked answer for this question.
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