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Question

# Ratio of expenditures of companies A and B in 2003 was 4:5 respectively. What was the respective ratio of their incomes in that year?

A
10:29
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B
20:29
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C
9:10
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D
21:26
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E
None of these
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Solution

## The correct option is E None of theseLet the expenditures of companies A and B in 2003 be Rs 4x and Rs 5x respectively. If their respective incomes be I1 and I2, then for company A, 45=I1−4x4x×100 ⇒I1−4x=45x25=9x5 ⇒I1=9x5+4x=29x5 For company B, 50=I2−5x5x×100 ⇒I2−5x=50x20=5x2 ⇒I2=5x+5x2=15x2 =29x ∴I1I2=515x=29x5×215x=5875

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