Question

monthly incomes of a nd b are in ratio 4:3 nd theri expenditure bear the ratio 3:2 if each of them saves rs. 600 per month find the monthly income of each.... plzzz solve itt plzzz

Answer 1

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The monthly incomes of A and B are in the ratio 5 : 4 and their monthly expenditures are in the ratio 7 : 5. If each saves Rs.9000 per month, find the monthly income of each.

answer
Let the monthly incomes of A and B are 5x and 4x respectively. Also their monthly expenditures are 7y and 5y respectively.
According to question -
Savings of family A = 5x - 7y = 9000.....(1)
Savings of family B = 4x - 5y = 9000.....(2)
Subtracting equation (2) from (1), we get -
x = 2y.....(3)
Substitute the value of x in equation (1), we get -
y = 3000
Substitute the value of y in equation (3), we get -
x = 6000
Thus, the monthly income of A = 5x = Rs.30000
and, the monthly income of B = 4x = Rs.24000