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The ratio of prices of Coffee and Tea is 3 : 4 and the ratio of their quantities consumed by a family is 4 : 7. Find the ratio of expenditures on Coff
Question

The ratio of prices of Coffee and Tea is 3 : 4 and the ratio of their quantities consumed by a family is 4 : 7. Find the ratio of expenditures on Coffee and Tea.

A.

3 : 7

B.

7 : 3

C.

7 : 4

D.

4 : 7

Correct option is A

Given:
Ratio of prices of Coffee to Tea = 3 : 4.
Ratio of quantities of Coffee to Tea consumed = 4 : 7.
Formula Used:
The expenditure on an item is given by:
Expenditure = Price per unit × Quantity consumed
Solution:
Expenditure ratio = (Price ratio of Coffee : Tea)×(Quantity ratio of Coffee : Tea)
Expenditure ratio = (3 : 4) × (4 : 7)
Expenditure ratio = (3 × 4) : (4 × 7) = 12 : 28 = 3 : 7
Thus, The ratio of expenditures on Coffee to Tea is 3 : 7.

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