| A man has divided his total money in his will in such a way that half of it goes to his wife, \[\frac{2}{3}\]rd of the remaining among his three sons equally and the rest among his four daughters equally. If each daughter gets Rs. 20000, then how much money will each son get? |
A) Rs. 50333.33
B) Rs. 48233.33
C) Rs. 53333.33
D) Data inadequate
E) None of these
Correct Answer: C
Solution :
| Let the total money be Rs. x. |
| Money goes to wife \[=\frac{x}{2}\] |
| \[\frac{2}{3}\]of the remaining \[\frac{x}{2}=\frac{x}{3}\]is divided equally among three sons. |
| \[\therefore \]The share of each son \[=\frac{1}{3}\times \frac{x}{3}=\frac{x}{9}\] |
| So, \[\frac{x}{2}-\frac{x}{3}=\frac{x}{6}\] |
| is divided equally among four daughters. |
| \[\therefore \]The share of each daughter\[=\frac{1}{4}\times \frac{x}{6}=\frac{x}{24}\] |
| \[\because \] \[\frac{x}{24}=20000\] |
| \[\Rightarrow \] \[x=480000\] |
| \[\therefore \]The share of each son\[=\frac{x}{9}=\frac{480000}{9}=\text{Rs}\text{.}\,\,53333.33\] |
You need to login to perform this action.
You will be redirected in
3 sec
