The ratio of incomes of P and Q is 3:4 and th | vedclass

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(C) Let the income of $P$ and $Q$ be $3x$ and $4x$ respectively.Let the expenditure of $P$ and $Q$ be $2y$ and $3y$ respectively.We know that $	ext{I

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$18000$

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(C) Let the income of $P$ and $Q$ be $3x$ and $4x$ respectively.Let the expenditure of $P$ and $Q$ be $2y$ and $3y$ respectively.We know that $	ext{Income} - 	ext{Expenditure} = 	ext{Savings}$.For $P$: $3x - 2y = 6000$ (Equation $1$)For $Q$: $4x - 3y = 6000$ (Equation $2$)From Equation $1$,$2y = 3x - 6000$,so $y = 1.5x - 3000$.Substitute $y$ into Equation $2$: $4x - 3(1.5x - 3000) = 6000$.$4x - 4.5x + 9000 = 6000$.$-0.5x = -3000$.$x = 6000$.The income of $P$ is $3x = 3 	imes 6000 = 18000$ $Rs.$

The ratio of incomes of $P$ and $Q$ is $3:4$ and the ratio of their expenditures is $2:3$. If both of them save $Rs. 6000$,the total income of $P$ is (in $Rs.$):

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