The monthly incomes of two persons are in the ratio 4 : 5 and their monthly expenditures are in the ratio 7 : 9

The monthly incomes of two persons are in the ratio 4 : 5 and their monthly expenditures are in the ratio 7 : 9. If each saves 50 per month, find their monthly incomes.

Solutions

Expert Solution

Let the monthly income of one person be $4 x$ and that of the other be $5 x$

Let the monthly expenses of one person be $7 y$ and that of other be $9 y$

According to the question,

$4 x - 7 y = 50 . . . . . . . . (1)$

$5 x - 9 y = 50 . . . . . . . . (2)$

On solving both equations, we get

$y = 50$

$x = 100$

Therefore,

Monthly income of one person

$= 4 \times 100 = 400$

Monthly income of the other person

$= 5 \times 100 = 500$

So, the sum of their monthly incomes

$= 400 + 500 = 900$

Hence, this is the answer.

here, X=50 AND Y=100.

Aman Yadav answered 2 years ago

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