The ratios of the monthly incomes and monthly expenditures of A and B are 5 : 6 and 4 : 5, respectively. If both of them have ₹500 as monthly savings, what is the income of A?

Explanation

Let A and B's incomes be 5x and 6x, and their expenditures be 4y and 5y. Since each saves ₹500:

5x-4y=500

6x-5y=500.

Subtracting gives x-y=0, so x=y. Putting this into the first equation:

x=500.

Hence A's income is

5x=5(500)=₹2,500.