Question

# The pie chart shows the number of fruits sold in a store. Given that the number of apples is 180 and number of oranges is 400, what is the number of pears sold in the fruit store?

A

60

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B

70

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C

140

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D

200

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Solution

## The correct option is C 140 The angle made by the sector representing apples on the centre of the circle is 90∘. This angle is made by 180 apples or 180 units. 180 units subtends an angle of 90∘. ∴ 400 units will subtend an angle of 90∘180×400=200∘ Thus the angle made by the sector representing oranges on the centre of the circle is 200∘. Total angle subtended at the centre of the circle is 360∘. ∵ angle subtended by the sector representing pears at the centre of the circle =x∘ 90∘+200∘+x∘=360∘ x∘=70∘ ∴ Angle subtended by the sector representing pears is 70∘. As 200∘ equals 400 units, ⇒ 70∘ equals 400200×70=140 units ∴ Number of pears sold at the fruit store =140

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