# Q. A pie chart gives the expenditure on five different items A, B, C, D and. E in 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?

a. 112/9

b. 125/6

c. 155/9

d. 250/9

Correct Answer: d. 250/9

#### Question from UPSC Prelims 2022 CSAT Paper

**Explanation : **

## A pie chart gives the expenditure

The total angle in a pie chart is 360°. The sum of the angles for items B, C, D and E is 90° + 50° + 45° + 75° = 260°. Therefore, the angle for item A is 360° – 260° = 100°.

Since the total angle in a pie chart represents 100%, each degree represents 100/360 = (5/18)%. Therefore, the percentage of expenditure on item A is (5/18) * 100 = (500/18)% ≈ (250/9)%.

So the correct answer is d. (250/9).