Christy donated 10 % of his income to an orph | vedclass

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(A) Let the total income of Christy be $x$.Step $1$: Donation to the orphanage.Amount donated $= 10 \% 	ext{ of } x = 0.10x$.Remaining amount $= x -

Vedclass · Accepted Answer

$10000$

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(A) Let the total income of Christy be $x$.Step $1$: Donation to the orphanage.Amount donated $= 10 \% 	ext{ of } x = 0.10x$.Remaining amount $= x - 0.10x = 0.90x$.Step $2$: Deposit in the bank.He deposits $20 \%$ of the remainder.Amount deposited $= 20 \% 	ext{ of } 0.90x = 0.20 	imes 0.90x = 0.18x$.Step $3$: Calculate the final remaining amount.Final remaining amount $= 0.90x - 0.18x = 0.72x$.Step $4$: Solve for $x$.Given that $0.72x = 7200$.$x = \frac{7200}{0.72} = 10000$.Thus,his total income is $Rs$ $10000$.

Christy donated $10 \%$ of his income to an orphanage and deposited $20 \%$ of the remainder in his bank. If he has now $Rs$ $7200$ left,what is his income?

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