Fruits liked by people are shown in the pie chart given below. The proportion to the whole of the various fruits is shown in it. If the total number of people who liked these fruits are 720, then how many people liked mangoes?

135

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270

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150

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Solution

The correct option is D 150
Total number of people represented by the full pie chart = Total number of people who liked these fruits = 720

As we know ,
the centre angle for the pie chart is $360^{\circ} .$

i.e., $360^{\circ}$ represents the 720 people.

People who liked mangoes = People represented by $75^{\circ}$
Angle of sector in the pie chart representing mangoes = $\frac{75}{360} \times 720$ = 150

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