# The ratio of the market prices of wheat and rice is 3 ∶ 8, and the ratio of their quantities consumed in a family is 16 ∶ 3. What is the ratio of the

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The ratio of the market prices of wheat and rice is 3 ∶ 8, and the ratio of their quantities consumed in a family is 16 ∶ 3. What is the ratio of the expenditure on wheat and rice?
1. 33 ∶ 152
2. 19 ∶ 11
3. 13 ∶ 5
4. 2 ∶ 1

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Correct Answer - Option 4 : 2 ∶ 1

Given:

MP of wheat : MP of rice = 3 : 8

Consumption of wheat : Consumption of rice = 16 : 3

Concept Used:

Expenditure of commodity = Consumption of commodity × Rate of commodity

Calculation:

Expenditure of wheat = 3 × 16

⇒ Expenditure of wheat = 48

Expenditure of rice = 8 × 3

⇒ Expenditure of rice = 24

Ratio of Expenditure of wheat and rice,

⇒ 48 : 24

⇒ 2 : 1

∴ The ratio of expenditure is 2 : 1.

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