QUESTION

CSAT

Medium

Maths

Prelims 2022

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

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Explanation

A pie chart represents data in the form of a circle, where the sum of all angles in the circle is $360°$ .

The angles for items B, C, D, and E are given as: B = $90°$ C = $50°$ D = $45°$ E = $75°$
The total of these angles is: $90° + 50° + 45° + 75° = 260°$
Therefore, the angle for item A is: Angle A = $360° - 260° = 100°$
The percentage of expenditure on item A is the proportion of the angle for A in relation to the total angle of the circle ( $360°$ ), multiplied by 100: Percentage of A = $(\frac{100}{360}) \times 100 = \frac{250}{9}\%$