the ratio of incomes of two person is 9:7and the ratio of their expenditure is 4:3 .If each of them manages to save rupees2000 per month ,find their monthly income
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Let income be 'x' .
Let the expenditure be 'y'.
Let the incomes of A be 9x and let the income of B be 7x.
As per the question, the expenditure of A is 4x and the expenditure of B is 3x.
Therefore the equation for the above two conditions:
We know that, Income - Expenditure = Savings.
So the equation becomes :
9x- 4y =2000______1.
7x- 3y = 2000______2.
Solving the equation by elimination method,
the value of x=2000
the value of y= 4000
Therefore monthly income of A= 9x = 9* 2000= 18000
and monthly income of B=7x= 7*2000=14000
ANS: Monthly income of A=18000
Monthly income of B= 14000
(the answer can be cross verified by substituting the values of x & y in equation 1. and 2.
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