The monthly incomes of two friends Ashish and Kiran, are in the ratio 5 : 7 respectively and each of them saves ₹81000 every month. If the ratio of their monthly expenditure is 2 : 3, find the monthly income of Ashish(in ₹).

Correct option is C

Given:

The ratio of monthly incomes of Ashish and Kiran = 5 : 7

Monthly savings of each = ₹81000

The ratio of their monthly expenditures = 2 : 3

Formula Used:

Income = Expenditure + Savings

Solution:
Let the monthly income of Ashish be 5x and that of Kiran be 7x.

Monthly savings of Ashish = Income of Ashish - Expenditure of Ashish
5x − Expenditure of Ashish = 81000

Expenditure of Ashish = 5x - 81000

Monthly savings of Kiran = Income of Kiran - Expenditure of Kiran
7x - Expenditure of Kiran = 81000
Expenditure of Kiran = 7x - 81000

We are given that the ratio of their expenditures is 2 : 3, so:

​$$\frac{\text{Expenditure of Ashish}}{\text{Expenditure of Kiran}} = \frac{2}{3}$$​

​$$\frac{5x - 81000}{7x - 81000} = \frac{2}{3}$$​

3(5x - 81000) = 2(7x - 81000)

15x - 243000 = 14x - 162000

15x - 14x = 243000 - 162000

x = 81000

Now, the monthly income of Ashish is:

5x = 5 × 81000 = 405000