Ratio of income of A to that of B is 5:9. If expenditure of A is $frac{3}{8}th$ of his income and expenditure of B is $frac{4}{9}th$ of his income and sum of their saving is Rs 1950 then find the difference between their income?

Let income of A and B be Rs 5x and Rs 9x respectively

Expenditure of A= $= { m{Rs}}frac{{15}}{8}{ m{x}}$

Saving of A=Rs $frac{{25}}{8}x$

Expenditure of B= Rs 4x

Saving of B= Rs 5x

ATQ

$frac{{65}}{8}x$ = 1950 ⇒ x=240

Required difference= Rs 960