Comprehension
The pie diagram below shows the percentage of expenditures of Paul and Balu per month.
Question: 1

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

Show Hint

Since incomes are equal, compare the leftover percentage, that is 100% minus Investments, for each person.
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

Step 1: Note that both incomes are fixed and equal.
Call this common income Rs. X. Since each person's percentages add to 100%, removing one head just flips the comparison onto that head.

Step 2: Convert Investments percentages into a direct comparison.
Paul's Investments percentage is 23% and Balu's is 24%, a gap of exactly 1 percentage point.
Because total spending is 100% of X for both, the gap in the remaining five heads equals the same 1 percentage point, only reversed in direction.

Step 3: Confirm with actual remainders.
Paul spends 100 minus 23 equals 77% of X outside Investments; Balu spends 100 minus 24 equals 76% of X outside Investments.
The gap is 77% minus 76% equals 1% of X, matching the shortcut from Step 2.

Final Answer:
The difference works out to 0.01 of income. \[ \boxed{0.01X} \]
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Question: 2

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

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Add Paul's three relevant percentages, divide by 3, then apply that average to his income.
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: Convert each percentage to a rupee amount first.
Investments amount: 23% of 13500 equals 3105.
Rent amount: 22% of 13500 equals 2970.
Travel amount: 15% of 13500 equals 2025.

Step 2: Add the three amounts.
3105 plus 2970 plus 2025 equals 8100.

Step 3: Divide the total by 3 to get the average amount.
8100 divided by 3 equals 2700.

Final Answer:
The average expenditure is Rs. 2700, the same result reached by averaging amounts instead of percentages. \[ \boxed{Rs.\ 2700} \]
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Question: 3

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

Show Hint

Add Balu's Investments and Food percentages, then apply the combined percentage to his salary.
Updated On: Jul 21, 2026
  • Rs. 5450
  • Rs. 4200
  • Rs. 4560
  • Rs. 5700
Show Solution

The Correct Option is D

Solution and Explanation

Step 1: Write the combined percentage as a simplified fraction.
Investments plus Food is 24% plus 14%, which equals 38%.
As a fraction, 38% equals 38 over 100, which simplifies to 19 over 50.

Step 2: Multiply the fraction by the salary.
19 over 50 times 15000 equals 19 times 300, since 15000 divided by 50 is 300.

Step 3: Complete the multiplication.
19 times 300 equals 5700.

Final Answer:
The expenditure on Investments and Food is Rs. 5700, confirmed using the fraction route. \[ \boxed{Rs.\ 5700} \]
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Question: 4

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

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Convert each percentage to degrees using the fact that 100% equals 360 degrees.
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 three percentages to degrees separately.
Travel angle: 15% times 3.6 degrees equals 54 degrees.
Rent angle: 22% times 3.6 degrees equals 79.2 degrees.
Medical angle: 15% times 3.6 degrees equals 54 degrees.

Step 2: Add the three individual angles.
54 plus 79.2 plus 54 equals 187.2 degrees.

Final Answer:
Adding the angles one category at a time also gives 187.2 degrees for Travel, Rent and Medical. \[ \boxed{187.2^{\circ}} \]
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Question: 5

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

Show Hint

Since incomes are equal, add each person's percentage for Food, and separately for Clothing, before forming the 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: Take a concrete income value to work with actual rupees.
Let the equal income of both Balu and Paul be Rs. 100, purely to make the arithmetic concrete.

Step 2: Find the rupee amount spent on Food by both.
Paul spends Rs. 18 on Food and Balu spends Rs. 14 on Food, a combined Rs. 32.

Step 3: Find the rupee amount spent on Clothing by both.
Paul spends Rs. 7 on Clothing and Balu spends Rs. 15 on Clothing, a combined Rs. 22.

Step 4: Write the ratio and reduce it.
Rs. 32 to Rs. 22 reduces, on dividing by 2, to 16 to 11.

Final Answer:
Using Rs. 100 as the common income also gives the ratio 16 : 11 for Food to Clothing. \[ \boxed{16:11} \]
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