Question

The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and their monthly expenditures are in the ratio 5 : 7. If each saves ₹ 15,000 per month, find their monthly incomes using matrix method.

Answer 1

Let monthly incomes of Aryan and Babban be ₹ 3x and ₹ 4x while their monthly expenditure be ₹ 5y and ₹ 7y respectively.

According to question

3x - 5y = 15000  ...(i)

4x - 7y = 15000 ...(ii)

Above system of linear equations (i) and (ii) may be written in matrix form as follows

Ax = B where

Hence monthly income of Aryan = ₹ 90,000

and monthly income of Babban = ₹ 1,20,000