A man donates 30% of his wealth to charity. H | vedclass

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Question

(B) Let the total wealth of the man be $x$.$1$. Donation to charity: $30\%$ of $x = 0.3x$.Remaining wealth $= x - 0.3x = 0.7x$.$2$. Share for wife: $3

Vedclass · Accepted Answer

$400$

Vedclass · Answer

(B) Let the total wealth of the man be $x$.$1$. Donation to charity: $30\%$ of $x = 0.3x$.Remaining wealth $= x - 0.3x = 0.7x$.$2$. Share for wife: $30\%$ of the remaining wealth $= 0.3 	imes 0.7x = 0.21x$.$3$. Share for son: $25\%$ of the remaining wealth $= 0.25 	imes 0.7x = 0.175x$.$4$. Remaining wealth for daughters $= 0.7x - (0.21x + 0.175x) = 0.7x - 0.385x = 0.315x$.$5$. Each daughter's share $= \frac{0.315x}{3} = 0.105x$.Given that each daughter gets $Rs$ $42$ lakh:$0.105x = 42$$x = \frac{42}{0.105} = 400$.Therefore,the man's total wealth was $Rs$ $400$ lakh.

$A$ man donates $30\%$ of his wealth to charity. He gives $30\%$ and $25\%$ of the remaining wealth to his wife and son respectively. The rest he divides equally between his three daughters. One of his daughters gets $Rs$ $42$ lakh as her share. What was the man's total wealth (in $Rs$ lakhs)?

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