Question Bank › General Aptitude › Simplification › ABC26GN1129ABC26GN1129 · Simplification Subject: General Aptitude · Chapter: Simplification · Exam: 2002 · Marks: · Difficulty:
A sum of ₹ 1360 has been divided among $A, B$ and $C$ such that $A$ gets $\frac{2}{3}$ of what $B$ gets and $B$ gets $\frac{1}{4}$ of what $C$ gets. $B^{\prime}$ 's share is
(a) ₹ 120
(b) ₹ 160
(c) ₹ 240
(d) ₹ 300
Answer Explanation Let C's share $=₹ x$. Then, B's share $=₹\left(\frac{x}{4}\right)$, A's share $$\begin{aligned} & \begin{aligned} =₹\left(\frac{2}{3} \times \frac{x}{4}\right)=₹ \frac{x}{6} . \\ \therefore \quad \frac{x}{6}+\frac{x}{4}+x=1360 \Leftrightarrow \frac{17 x}{12}=1360 \\ \Leftrightarrow x=\left(\frac{1360 \times 12}{17}\right)=₹ 960 . \end{aligned} \\ & \text { Hence, B's share }=₹\left(\frac{960}{4}\right)=₹ 240 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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