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(A) Let the incomes of $A$ and $B$ be $2x$ and $x$ respectively.Let the expenditures of $A$ and $B$ be $5y$ and $3y$ respectively.The ratio of savings

Vedclass · Accepted Answer

$7$

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(A) Let the incomes of $A$ and $B$ be $2x$ and $x$ respectively.Let the expenditures of $A$ and $B$ be $5y$ and $3y$ respectively.The ratio of savings is given as $4:1$. Total savings $= ₹ 5,000$.$A$'s savings $= \frac{4}{4+1} 	imes 5,000 = ₹ 4,000$.$B$'s savings $= \frac{1}{4+1} 	imes 5,000 = ₹ 1,000$.We have the equations:$2x - 5y = 4,000$  --- $(1)$$x - 3y = 1,000$  --- $(2)$Multiply equation $(2)$ by $2$:$2x - 6y = 2,000$  --- $(3)$Subtract equation $(3)$ from equation $(1)$:$(2x - 5y) - (2x - 6y) = 4,000 - 2,000$$y = 2,000$.Substitute $y = 2,000$ into equation $(2)$:$x - 3(2,000) = 1,000$$x - 6,000 = 1,000$$x = 7,000$.The monthly income of $B$ is $x = ₹ 7,000$.

$A$ and $B$ earn in the ratio $2:1$. They spend in the ratio $5:3$ and save in the ratio $4:1$. If the total monthly savings of both $A$ and $B$ are ₹ $5,000$,the monthly income of $B$ is (in ₹): (in $,000$)

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