Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: 2006 · Marks: · Difficulty:
A sum of ₹ 731 is divided among $A, B$ and $C$ such that $A$ receives 25\% more than $B$ and $B$ receives 25\% less than $C$. What is $C^{\prime}$ s share in the amount?
(a)₹ 172
(b)₹ 200
(c)₹ 258
(d)₹ 262
(e)None of these
Answer
Answer (as printed): E
Explanation
$B=75 \%$ of $C=\frac{3}{4} C ; A=125 \%$ of $$\begin{aligned} & B=125 \% \text { of } \frac{3}{4} C=\left(\frac{5}{4} \times \frac{3}{4} C\right)=\frac{15}{16} C \\ & \therefore A: B: C=\frac{15}{16} C: \frac{3}{4} C: C=15: 12: 16 \end{aligned}$$ Sum of ratio terms $=(15+12+16)=43$. C's share $=₹\left(731 \times \frac{16}{43}\right)=₹ 272$.
Explanation as extracted from the printed page; notation may be imperfect.