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Chapter: Statistics· Mathematics Part 1 (Algebra)

A pie diagram shows the production of crops on a farm: Wheat 120°, Rice 90°, Jowar 60° and the rest is Bajra.[Figure: pie diagram with the four sectors.]If the production of rice is 450 quintals, find (a) the central angle for Bajra (b) the total pro…

Q.23 A pie diagram shows the production of crops on a farm: Wheat 120°, Rice 90°, Jowar 60° and the rest is Bajra.
[Figure: pie diagram with the four sectors.]
If the production of rice is 450 quintals, find (a) the central angle for Bajra (b) the total production (c) how much more wheat than jowar is produced.

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Answer: (a) 90° (b) 1800 quintals (c) 300 quintals

(a) Bajra = 360° − (120° + 90° + 60°) = 90°

(b) \(\dfrac{90}{360} \times \text{Total} = 450 \Rightarrow \text{Total} = 450 \times 4 = 1800\) quintals

(c) Wheat = \(\dfrac{120}{360} \times 1800 = 600\); Jowar = \(\dfrac{60}{360} \times 1800 = 300\). Difference = 600 − 300 = 300 quintals.

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