The ratio of the income of P and Ois5:4. The ratio of expenditure is 4

1.	The ratio of the income of P and Ois5:4. The ratio of expenditure is 4 : 3. The2saving of P is more than that of Q by 16–%.3What per cent of his income does P spend?2
Answer» $Let the incomes of P and Q be Rs 5x and Rs 4x respectively . Let the expenditure of P and Q be Rs 4y and Rs 3y respectively \\ Saving of P =Rs(5x-4y) \\ Savings of Q =Rs(4x-3y)$ $5x - 4y = (4x - 3y)(1 + \frac{16 \frac{2}{3}}{100} )$ $= > 5x - 4y = (4x - 3y) (\frac{7}{6} )$ $= > 30x - 24y = 28x - 21y$ $= > \:2x = 3y$ $Required \: percentage$ $= \frac{4y}{5x} (100)$ $\frac{4}{3} ( \frac{2}{3} )(100) = 53 \frac{1}{3} \%$

The ratio of the income of P and Ois5:4. The ratio of expenditure is 4 : 3. The2saving of P is more than that of Q by 16–%.3What per cent of his income does P spend?2

Answer»

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