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Question

# If the incomes of company B in 2002 and 2003 were in the ration of 3:4 respectively, what was the respective ratio of expenditures of the company in these two years?

A
26:45
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B
29:56
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C
45:58
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D
56:29
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E
None of the above
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Solution

## The correct option is C 45:58Let the income of company B in 2002 and 2003 be Rs 3x and Rs 4x respectively. Let respective expenditures be Rs y1 and Rs y2 For the year 2002. 45=3x−y1y1×100 ⇒3x−y1=45y1100=9y120 ⇒3x=y1+9y120 ⇒29y120=3x ⇒y1=20×3x29 =60x29 For the year 2003, 50=4x−y2y2×100 ⇒y2=8x−2y2 ⇒3y2=8x ⇒y2=8x3 ∴y1y2=60x298x =60x29×38x=4558

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