The incomes of A and B are in the ratio 3:2 a | vedclass

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(B) Let the incomes of $A$ and $B$ be $3x$ and $2x$ respectively.Let the expenditures of $A$ and $B$ be $5y$ and $3y$ respectively.We know that $	ext

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$6000$

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(B) Let the incomes of $A$ and $B$ be $3x$ and $2x$ respectively.Let the expenditures of $A$ and $B$ be $5y$ and $3y$ respectively.We know that $	ext{Income} - 	ext{Expenditure} = 	ext{Savings}$.For $A$: $3x - 5y = 1000$  ---$(1)$For $B$: $2x - 3y = 1000$  ---$(2)$Multiply equation $(1)$ by $3$ and equation $(2)$ by $5$:$9x - 15y = 3000$  ---$(3)$$10x - 15y = 5000$ ---$(4)$Subtracting equation $(3)$ from $(4)$:$(10x - 9x) = 5000 - 3000$$x = 2000$$A$'s income is $3x = 3 	imes 2000 = ₹ 6000$.

The incomes of $A$ and $B$ are in the ratio $3:2$ and their expenditures are in the ratio $5:3$. If each saves ₹ $1000$,then $A$'s income is (in ₹):

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