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Question

# The incomes of two Companies X and Y in 2000 were in the ratio of 3:4 respectively. What was the respective ratio of their expenditures in 2000 ?

A
7:22
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B
14:19
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C
15:22
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D
27:35
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Solution

## The correct option is A 15:22Let the incomes in 2000 of Companies X and Y be 3x and 4x respectively.And let the expenditures in 2000 of Companies X and Y be E1 and E2 respectively.Then, for Company X we have:65=3x−E1E1×100⇒65100=3xE1−1⇒E1=3x×(10065)....(i)For Company Y we have:50=4x−E2E2×100⇒50100=4xE2−1⇒E2=4x×(100150)...(ii)From (i) and (ii), we get:E1E2=3x×(100165)4x×(100150)=3×1504×165=1522 (Required ratio).

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