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 degrees, 50 degrees, 45 degrees and 75 degrees respectively, then what is the percentage of expenditure on item A?

A pie chart gives the expenditure on five different items A, B, C, D…

Answer

Key fact: Total angle in a pie chart = 360°. Given B + C + D + E = 90° + 50° + 45° + 75° = 260°, so A = 360° - 260° = 100°.

Option check:

(a) 112/9: This is about 12.44%; not equal to (100/360) × 100 = 250/9%. Incorrect.
(b) 125/6: This is about 20.83%; not equal to 250/9%. Incorrect.
(c) 155/9: This is about 17.22%; not equal to 250/9%. Incorrect.
(d) 250/9: A’s percentage = (100/360) × 100 = 250/9%. Correct.