Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-49

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 \[=117:65:39\]

\[=9:5:3\]