Question: 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?
Options:
A) Rs. 50333.33
B) Rs. 48233.33
C) Rs. 53333.33
D) Data inadequate
E) None of these
Show Answer
Answer:
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}=Rs\text{.}53333.33 $
BETA
