The ratio of incomes of two persons is 9:7 an | vedclass

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(A) Let the incomes of the two persons be ₹ $9x$ and ₹ $7x$,and their expenditures be ₹ $4y$ and ₹ $3y$ respectively.Since $	ext{Income} - 	ext{Expe

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₹ $18,000$ and ₹ $14,000$

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(A) Let the incomes of the two persons be ₹ $9x$ and ₹ $7x$,and their expenditures be ₹ $4y$ and ₹ $3y$ respectively.Since $	ext{Income} - 	ext{Expenditure} = 	ext{Savings}$,we have:$9x - 4y = 2000$ $...(1)$$7x - 3y = 2000$ $...(2)$To solve these equations,multiply equation $(1)$ by $3$ and equation $(2)$ by $4$:$27x - 12y = 6000$ $...(3)$$28x - 12y = 8000$ $...(4)$Subtracting equation $(3)$ from equation $(4)$:$(28x - 27x) - (12y - 12y) = 8000 - 6000$$x = 2000$Substituting $x = 2000$ into equation $(1)$:$9(2000) - 4y = 2000$$18000 - 4y = 2000$$4y = 16000$$y = 4000$The monthly incomes are $9x = 9 	imes 2000 = ₹ 18,000$ and $7x = 7 	imes 2000 = ₹ 14,000$.

The ratio of incomes of two persons is $9:7$ and the ratio of their expenditures is $4:3$. If each of them manages to save ₹ $2000$ per month,find their monthly incomes.

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