Question

The ratio of incomes of two persons is $9:7$ & $2$, the ratio of their expenditures is $4:3$. If each of them manager to save $rs.2000$ per months, find their monthly income.

Answer 1

Let, Income's of two persons be $9x,7x$

Expenditure be $4y,3y$

Now, $9x-4y=2000...\left(1\right)\times 3$

$7x-3y=2000...\left(2\right)\times 4$

$27x-12y=6000$

$\underset{–}{\underset{(-)}{28x}-\underset{(+)}{12y}=8000}$

$x=2000$

Income's of both persons are $(9\times 2000),(7\times 2000),=(18,000)(14,000)$