Question

If the expenditure of A and B in 2011 was equal and the total income of A and B was Rs 116L, what was the total expenditure of A and B in the same years?

• A. Rs 84 L
• B. Rs 83 L
• C. Rs 80 L
• D. Rs 40 L
• E. None of these

Answer 1

The correct option is C Rs 80 L

For A
$40=(I-E)\times \frac{100}{E}$
$40E=(I-E)100$
$2E=5I-5E$
$5I=7E$
$I=\frac{7E}{5}$

For B
$50=(116-1-E)\times \frac{100}{E}$
$E=2(116-I-E)$
$2I=232-3E$
$I=\frac{232-3E}{2}$
$\frac{7}{5E}=\frac{-232-3E}{2}$
$14E=1160-15E$
$29E=1160$
$E=\frac{1160}{29}=40$
$2E=80$