Question

The ratio of the income of P and Ois
5:4. The ratio of expenditure is 4 : 3. The
2
saving of P is more than that of Q by 16–%.
3
What per cent of his income does P spend?
2

​

Answer 1

$Let the incomes of P and Q be Rs 5x and Rs 4x respectively . Let the expenditure of P and Q be Rs 4y and Rs 3y respectively \\ Saving of P =Rs(5x-4y) \\ Savings of Q =Rs(4x-3y)$

$5x - 4y = (4x - 3y)(1 + \frac{16 \frac{2}{3}}{100} )$

$= > 5x - 4y = (4x - 3y) (\frac{7}{6} )$

$= > 30x - 24y = 28x - 21y$

$= > \:2x = 3y$

$Required \: percentage$

$= \frac{4y}{5x} (100)$

$\frac{4}{3} ( \frac{2}{3} )(100) = 53 \frac{1}{3} \%$