UPSC Prelims 2022·CSAT·Quantitative Aptitude·Arithmetic

A pie chart gives the expenditure on five different items A, B, C, D and Ein a household. If B, C, D and E correspond to 90° , 50° , 45° and 75° respectively, then what is the percentage of expenditure on item A?

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Last updated 8 Jul 2026, 4:39 pm IST
  1. A(112)/(9)
  2. B(125)/(6)
  3. C(155)/(9)
  4. D(250)/(9)Correct

Explanation

A pie chart represents a full circle, which is 360 degrees. The sum of degrees for items B, C, D, and E is 90 + 50 + 45 + 75 = 260 degrees. To find the degrees corresponding to item A, subtract the sum of the other items from the total 360 degrees: Degrees for A = 360 - 260 = 100 degrees.

To convert this into a percentage of expenditure, divide the degrees for A by the total degrees (360) and multiply by 100: Percentage of A = (100 / 360) * 100 Percentage of A = (10 / 36) * 100 Percentage of A = (5 / 18) * 100 Percentage of A = 500 / 18 Percentage of A = 250 / 9

Therefore, the percentage of expenditure on item A is 250/9.

Analyzing the options: A) (112)/(9) is incorrect. B) (125)/(6) is incorrect. C) (155)/(9) is incorrect. D) (250)/(9) matches our calculated value.

The final answer is D.

Quantitative Aptitude: A pie chart gives the expenditure on five different items A, B, C, D and Ein a household. If B, C, D and E correspond to
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