The ratio of the monthly incomes of A and B is 4:3 . The ratio of their monthly expenditures is 5:4 . If A saves one fourth of his monthly income, find the ratio of their monthly savings.

Help me solving this please!!

1 answer

A makes 4x
B makes 3x
A saves 3x/4
So, A spends 4x - 3x/4 = 13x/4
B spends (4/5)(13x/4) = 13x/5
So, B saves 3x - 13x/5 = 2x/5

The savings ratio is thus

(3x/4):(2x/5) = 15:8