A sum of Rs 530 is divided between P,Q and 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?

2:5

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2:3

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3:2

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4:3

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Solution

The correct option is B 2:3
$P = \frac{1}{2} Q; Q = 2 R o r \frac{P}{Q} = \frac{1}{2}; \frac{Q}{R} = \frac{2}{1}$

Shares of P, Q, R = x, 2x,x

$\frac{Q}{P + Q} = \frac{2 x}{3 x} = 2 : 3$

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

The correct option is B 2:3P=12Q; Q=2R or PQ=12; QR=21 Shares of P, Q, R = x, 2x,x QP+Q=2x3x=2:3

A sum of Rs 530 is divided between P,Q and 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?

The correct option is B 2:3
$P = \frac{1}{2} Q; Q = 2 R o r \frac{P}{Q} = \frac{1}{2}; \frac{Q}{R} = \frac{2}{1}$

Shares of P, Q, R = x, 2x,x

$\frac{Q}{P + Q} = \frac{2 x}{3 x} = 2 : 3$