The incomes of A and B are in the ratio 4 : 5 and their expenditure are in the ratio 5 : 4. If A saves Rs. 6000 and B saves Rs. 12000, then what will be the income of A ?
Answer & explanation
Correct answer: option 4
A : B
Income 4 : 5
Expenditure 5 : 4
_____________________
Savings = -6000 -12000 (Income - Expenditure)
ATQ,
⇒ $\frac{4R - 6000}{5R- 12000} = \frac{5}{4}$
Using cross - multiplication method,
⇒ 25R - 16R = (-6000 x 4) - (-12000 x 5)
⇒ 9R = 36000
⇒ R = 4000
Income of A = 4 x 4000 = Rs. 16000