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Question

# If the expenditures of companies A and B in 2001 were equal and the total income of the two companies was Rs 116 lakhs, what was the total expenditure of the two companies in that year?

A
Rs 65 lakhs
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B
Rs 80 lakhs
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C
Rs 42 lakhs
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D
Cannot be determined
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E
None of the above
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Solution

## The correct option is B Rs 80 lakhsLet the income of company A = Rs x lakhs ∴ Income of company B = Rs (116 - x) lakhs Let the expenditure of each company be Rs y lakhs For company A, 40=x−yy×100 ⇒40y=(x−y)×100 ⇒x−y=40y100=2y5 ⇒x=2y5+y =7y5 ...(i) For company B, 50=(116−x)−yy×100 ⇒y=2(116−x)−2y ⇒3y=232−2x ⇒3y=232−2×7y5 [From Eq.(i)] ⇒3y=232−14y5 ⇒3y+14y5=232 ⇒29y5=232 ⇒y=232×529=40 ∴ Total Expenditure = 2y = 2 × 40 = Rs 80 lakhs

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