| Puneet distributed a sum of money among his wife, two sons and one daughter and kept some money for himself. 22% of the total money that he had, he gave to his wife and kept 20% of it for himself. 60% of the remaining money he distributed among his two sons and gave' the remaining to his daughter. If the daughter got Rs. 2940 more than the money he kept for himself, what was the total money that he distributed among his two sons? |
| [NICL(AO)2014] |
A) Rs. 31900
B) Rs. 31927
C) Rs. 31972
D) Rs. 33500
E) Rs. 34875
Correct Answer: C
Solution :
| Let Puneet has total Rs. 100. |
| Money given to his wife \[=100\times \frac{22}{100}=22\] |
| Money kept with himself \[=100\times \frac{20}{100}=20\] |
| Rest amount \[=100-(20+22)\] |
| \[=100-42=58\] |
| Now, money given to his two sons |
| \[=58\times \frac{60}{100}=34.80\] |
| Money given to his daughters |
| \[=58-34.80=23.20\] |
| Now, difference between the amount given to his daughter and kept with himself = Rs. 2940 |
| But \[(23.20-20)%=Rs.\,2940\] |
| \[\Rightarrow \] \[3.20%=2940\] |
| \[\therefore \] \[100%=\frac{2940}{32}\times 100=Rs.\,91875\] |
| Money given to his two sons \[=91875\times \frac{34.80}{100}\] |
| \[=31972.50\approx 31972\] |
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