A sum of ₹ 1300 is divided among P, Q, R and S such that (P′ s share)/(Q′ s share)=(Q′ s share)/(R′ s… · ABC26GN3084

Subject: General Aptitude · Chapter: Ratio and Proportion

A sum of ₹ 1300 is divided among $P, Q, R$ and $S$ such that $\frac{P^{\prime} s \text { share }}{Q^{\prime} s \text { share }}=\frac{Q^{\prime} s \text { share }}{R^{\prime} s \text { share }}=\frac{R^{\prime} s \text { share }}{S^{\prime} s \text { share }}=\frac{2}{3}$. How much is $P^{\prime} s$ share?
(a)₹ 140
(b)₹ 160
(c)₹ 240
(d)₹ 320
Answer
Answer (as printed): B
Explanation
$P: Q=2: 3, Q: R=2: 3=\left(2 \times \frac{3}{2}\right):\left(3 \times \frac{3}{2}\right)=3: \frac{9}{2}$, $$\begin{aligned} & R: S=2: 3=\left(2 \times \frac{9}{4}\right):\left(3 \times \frac{9}{4}\right)=\frac{9}{2}: \frac{27}{4} . \\ & \therefore P: Q: R: S=2: 3: \frac{9}{2}: \frac{27}{4}=8: 12: 18: 27 . \end{aligned}$$ Sum of ratio terms $=(8+12+18+27)=65$. $P$ 's share $=₹\left(1300 \times \frac{8}{65}\right)=₹ 160$.

Explanation as extracted from the printed page; notation may be imperfect.

Study loop for Ratio and Proportion

1. Practise the PYQsPrevious-year questions, with answers

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