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A man gave 20% of his salary to his only son and only daughter. The ratio of amount given to son and daughter is 3 : 2 respectively. Twice…

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A man gave 20% of his salary to his only son and only daughter. The ratio of amount given to son and daughter is 3 : 2 respectively. Twice the amount what he gave to his daughter. he invested in LIC. Out of the remaining amount he gave one-fourth to his wife. After that he was left with Rs. 16800. Find out the amount invested in LIC.
  • ARs. 5600
  • BRs. 5400
  • CRs. 5800
  • DRs. 6200
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CCommunity
Solution
Let total salary of the man be Rs. $100x$
Total amount given to his son and daughter = $\frac{20}{100} * 100x = 20x$
Amount given to daughter = $\frac{2}{5} * 20x = 8x$
Amount invested in LIC = $8x * 2 = 16x = ?$
Remaining amount = $100x - 20x - 16x = 64x$
Amount given to wife = $\frac{1}{4} * 64x = 16x$
=> Remaining amount = $64x - 16x = 48x$
Acc to ques : $48x = 16800$
=> $x = 350$
$\therefore$ Amount invested in LIC = 16 * 350 = Rs. 5600
0
CCommunity
Solution
Let total salary of the man be Rs. $100x$
Total amount given to his son and daughter = $\frac{20}{100} * 100x = 20x$
Amount given to daughter = $\frac{2}{5} * 20x = 8x$
Amount invested in LIC = $8x * 2 = 16x = ?$
Remaining amount = $100x - 20x - 16x = 64x$
Amount given to wife = $\frac{1}{4} * 64x = 16x$
=> Remaining amount = $64x - 16x = 48x$
Acc to ques : $48x = 16800$
=> $x = 350$
$\therefore$ Amount invested in LIC = 16 * 350 = Rs. 5600