The ratio of income of A to that of B is 7 : 5 and the expenditure of A to that of B is 3 :2 . If, at the end of the year,each saves Rs. 500, find the income of A.
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let the income = x
income of A = 7x
income of B = 5x
A save Rs. 500 = 7x+500
B save Rs. 500 = 5x+500
7x+500/5x+500 = 3/2
3(5x+500) = 2(7x+500)
15x+1500 = 14x+1000
15x-14x = 1000-1500
x = -500
income of A = 7x
= 7×-500
= -3500
income of B = 5x
= 5×-500
= -2500
income of A = 7x
income of B = 5x
A save Rs. 500 = 7x+500
B save Rs. 500 = 5x+500
7x+500/5x+500 = 3/2
3(5x+500) = 2(7x+500)
15x+1500 = 14x+1000
15x-14x = 1000-1500
x = -500
income of A = 7x
= 7×-500
= -3500
income of B = 5x
= 5×-500
= -2500
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