A sum of Rs 530 is divided between P,Q,R such that P gets 12 that of Q and Q g

Question

A sum of Rs 530 is divided between P,Q,R such that P gets $\frac{1}{2}$ that of Q and Q gets twice that of R. What is the ratio of Q to that of the sum of P and Q?

Options:

A . 2:5

B . 2:3

C . 3:2

D . 4:3

Answer: Option B
:
B

$P = \frac{1}{2} Q; Q = 2 R o r \frac{P}{Q} = \frac{1}{2}; \frac{Q}{R} = \frac{2}{1}$

Shares of P, Q, R = x, 2x,x
$\frac{Q}{P + Q} = \frac{2 x}{3 x} = 2 : 3$

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