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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 E 45:58
Let 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=3xy1y1×100
3xy1=45y1100=9y120
3x=y1+9y120
29y120=3x
y1=20×3x29
=60x29
For the year 2003,
50=4xy2y2×100
y2=8x2y2
3y2=8x
y2=8x3
y1y2=60x298x
=60x29×38x=4558

Quantitative Aptitude

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