Ratio and Proportion - Quant/Math - CAT 2003

Question 4 the day: February 4, 2003

The question for the day is from the topic of Ratio and Proportion.

The monthly incomes of A and B are in the ratio 4 : 5, their expenses are in the ratio 5 : 6. If 'A' saves Rs.25 per month and 'B' saves Rs.50 per month, what are their respective incomes?

(1)	Rs.400 and Rs.500		(2)	Rs.240 and Rs.300
(3)	Rs.320 and Rs.400		(4)	Rs.440 and Rs.550

Solution:

Solution

Let A's income be = 4x
A's expenses, therefore = 4x - 25

Let B's income be = 5x
B's expenses, therefore = 5x - 50

We know that the ratio of their expenses = 5 : 6
=>
=> 24x - 150 = 25x - 250
=> Therefore, x = 100.
=> A's income = 4x = 400 and B's income = 5x = 500.