Question: A sum of Rs. 221 is divided among X, Y and Z such that X gets Rs. 52 more than Y. Y gets Rs. 26 more than Z. The ratio of the shares of X, Y and Z respectively is [Indian Overseas Bank (PO) 2012]
Options:
A) 9: 5: 3
B) 9: 3: 5
C) 5: 9: 3
D) 10: 6: 5
E) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
- Here, 221 is divided among X, Y and Z.
Let Z gets Rs. a.
Then, Y gets Rs. $ (a+26) $
and X gets Rs. $ (a+78) $
According to the question,
$ a+a+26+a+78=221 $
$ \Rightarrow $ $ 3a+104=221 $
$ \Rightarrow $ $ 3a=117 $
$ \Rightarrow $ $ a=39 $
So, share of Z = Rs. 39
Share of $ Y=Rs.(39+26)=Rs.65 $
Share of $ X=Rs.(39+78)=Rs.117 $
$ \therefore $ Required ratio $ =117:65:39 $
$ =9:5:3 $