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A pie chart gives the expenditure on 5 different items A, B, C, D, E in a household. If B, C, D, E correspond to 65°, 45°, 90°, 100° respectively, then what is the percentage of expenditure on item A?

  • A.175/6
  • B.50/3
  • C.25
  • D.25/18

Answer: B

Item A accounts for 50/3 % of the expenditure, that is \(16\tfrac{2}{3}\)%.

The angles in a pie chart add to 360°.

\[ \begin{aligned} A &= 360 - (65 + 45 + 90 + 100) = 60^\circ \\ \frac{60}{360} \times 100 &= \frac{50}{3}\% \end{aligned} \]

25 is what you get by dividing 60 by 240 instead of 360, and 175/6 and 25/18 do not correspond to 60° of a 360° circle. A sixth of the circle is always \(16\tfrac{2}{3}\)%, a value worth remembering.

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