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] |
A) 9: 5: 3
B) 9: 3: 5
C) 5: 9: 3
D) 10: 6: 5
E) None of these
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 \[Y=Rs.(39+26)=Rs.\text{ }65\] |
Share of \[X=Rs.(39+78)=Rs.117\] |
\[\therefore \]Required ratio \[=117:65:39\] |
\[=9:5:3\] |
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