Question

The incomes of M and N are in the ratio of
5:7. They both save 21000 every month .What is
the income of each them?​

Answer 1

Given: Incomes of M and N are in the ratio of 8:7,

their expenditures are in the ration of 5:4,

they save Rs. 21000

To find: Income of M and N

Step-by-step explanation:

Let the income of M and N be Rs. 8x and Rs. 7x

$Ratio = \frac{8x}{7x} = \frac{8}{7}$

Each of them save Rs. 21000 every month, then the expenditures of M and N are Rs. 8x - 21000 and Rs. 7x - 21000 respectively

Ratio of their expenditures =

$\begin{gathered}\frac{8x - 21000}{7x - 21000} = \frac{5}{4}\\4\times(8x - 21000) = 5\times (7x - 21000)\\32x - 84000 = 35x - 105000\\ 35x - 32x = 105000 - 84000\\3x = 21000\\x = \frac{21000}{3}\\x = 7000\end{gathered}$

Hence, the monthly income of

M=Rs.8×7000=Rs.56000

$N = Rs. 7 \times 7000= Rs. 49000$