EPFO 2012 PYQ with Answer — If 20% of P = 30% of Q = 1/6 of R, then P : Q : R is :

2012 · Q1

If 20% of P = 30% of Q = 1/6 of R, then P : Q : R is :

General Mental Ability, Quantitative Aptitude and StatisticsNumber system and arithmetic

A2 : 3 : 16
B3 : 2 : 16
C10 : 15 : 18
D15 : 10 : 18

Explanation

Let the common value be k, so 0.2P = 0.3Q = R/6 = k. Then P = k/0.2 = 5k, Q = k/0.3 = 10k/3, and R = 6k. The ratio P : Q : R is therefore 5 : 10/3 : 6, which multiplies out to 15 : 10 : 18. Checking: 20% of 15 = 3, 30% of 10 = 3, and 18/6 = 3. The other options fail this check — for instance, 2 : 3 : 16 gives 0.4, 0.9 and 2.67.