Annual incomes of Amit and Varun are in the r | vedclass

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(D) Let the annual incomes of Amit and Varun be $3x$ and $2x$ respectively.Let the annual expenditures of Amit and Varun be $5y$ and $3y$ respectively

Vedclass · Accepted Answer

$6000$

Vedclass · Answer

(D) Let the annual incomes of Amit and Varun be $3x$ and $2x$ respectively.Let the annual expenditures of Amit and Varun be $5y$ and $3y$ respectively.We know that $	ext{Income} - 	ext{Expenditure} = 	ext{Savings}.$For Amit: $3x - 5y = 1000$ (Equation $1$)For Varun: $2x - 3y = 1000$ (Equation $2$)Since both save the same amount,we can equate the two expressions:$3x - 5y = 2x - 3y$$3x - 2x = 5y - 3y$$x = 2y$Substitute $x = 2y$ into Equation $1$:$3(2y) - 5y = 1000$$6y - 5y = 1000$$y = 1000$Now,find $x$:$x = 2(1000) = 2000$The annual income of Amit is $3x = 3 	imes 2000 = Rs. 6000.$

Annual incomes of Amit and Varun are in the ratio $3:2,$ while the ratio of their expenditures is $5:3.$ If at the end of the year each saves $Rs. 1000,$ the annual income of Amit is (in $Rs.$):

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