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The ratio of the market prices of wheat and rice is 5 ∶ 8, and the ratio of their quantities consumed in a family is 14 ∶ 9. What is the ratio of the expenditure on wheat and rice?
1. 24 : 29
2. 31 : 34
3. 35 : 36
4. 2 : 5

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Correct Answer - Option 3 : 35 : 36

Given:

MP of wheat : MP of rice = 5 : 8

Consumption of wheat : Consumption of rice = 14 : 9

Concept Used:

Expenditure of commodity = Consumption of commodity × Rate of commodity

Calculation:

Expenditure of wheat = 5 × 14

⇒ Expenditure of wheat = 70

Expenditure of rice = 8 × 9

⇒ Expenditure of rice = 72

Ratio of Expenditure of wheat and rice,

⇒ 70 : 72

⇒ 35 : 36

∴ The ratio of expenditure is 35 : 36. 

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