The incomes of two persons A and B are in the ratio 3 : 4. If each saves Rs.100 per month, the ratio of their expenditures is Rs. 1 : 2. Find their incomes.
Correct Answer: Rs. 150 and Rs.200
Let the incomes of A and B be 3P and 4P.
If each saves Rs. 100 per month, then their expenditures = Income - savings = (3P - 100) and (4P - 100).
The ratio of their expenditures is given as 1 : 2.
Therefor, (3P - 100) : (4P - 100) = 1 : 2
Solving, We get P = 50. Substitute this value of P in 3P and 4P.
Thus, their incomes are : Rs.150 and Rs.200