the ratio of incomes of two persons 9:7 and the ratio of their expenditure is 4:3. If each of them saves ₹2000 yearly, find their annual incomes.
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The ratio of incomes = 9:7 and the ratio of expenditures = 4:3
Let their incomes be 9x and 7x and their expenditures be 4y and 3y.
Their savings are 9x - 4y and 7x - 3y respectively.
According to the question,
9x - 4y = 2000 (eq1)
7x - 3y = 2000(eq2)
Multiplying eq1 by 3 and eq2 by 4, we get :
27x - 12y = 6000
28x - 12y = 8000 ( subtracting them)
(-) (+) (-)
---------------------------------
- x= - 2000
x = 2000
9x 9 x 2000 = 18000
7x7 x 2000 = 14000
Their incomes are 18000 and 14000.
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