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The pie chart given below shows the price of seven articles. The total price of all these seven articles is 28800. The price of a particular article is shown in terms of degree with respect to the total price of all these seven articles.

Pie chart of the prices of seven articles by angle: A 125 degrees, B 75, C 12, D 38, E 30, F 20 and G 60.

J1 = The value of average price of A and B
J2 = The difference between the price of G and C

What is the value of (J1 – J2)?

  • A.3840
  • B.5280
  • C.4160
  • D.7230

Answer: C

In a pie chart the price of an article is its angle over 360 degrees times the total of 28800. The average price of A and B is J1, with A at 125 degrees and B at 75 degrees: the average angle is 100 degrees, so J1 = 100/360 x 28800 = 8000. The difference of G, at 60 degrees, and C, at 12 degrees, is 48 degrees, so J2 = 48/360 x 28800 = 3840.

\[ J1 - J2 = 8000 - 3840 = 4160 \]

So the value is 4160, option (C). The values 3840 and 5280 are the price of J2 and a wrong average.

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