ahe monthly income of Amit & Atul are in the ratio 6:5 .The ratio of their monthly expenditure is 5:4 . If each of them saves ₹2500 per month .Find their monthly incomes.
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26
Answer:
Let the monthly income of Amit = 6x
And the monthly income of Atul = 5x
AND
Let the monthly expenditure of Amit = 5y
And the monthly expenditure of Atul = 4y
Both saves 2500 rupees each from their income
Of Amit 6x - 5y = 2500. (equation 1)
and
of Atul 5x - 4y = 2500. (equation 2)
in equation 1
6x - 5y = 2500
6x - 2500 = 5y
(6x - 2500)/5 = y
6/5x - 500 = y
putting value of y in equation 2
5x - 4(6/5x - 500) = 2500
5x - 24/5x + 2000 = 2500
(25x - 24x)/5 = 2500 - 2000
x/5 = 500
x = 5*500
x = 2500 rupees
y = 6/5x - 500
= 6/5*2500 - 500
= 3000 - 500
= 2500 rupees
income of Amit = 6x = 6*2500 = 15000 rupees
income of Atul = 5x = 5*2500 = 12500 rupees
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