If 30% of P = 0.6 of Q = of R, then P: Q: R is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4, i.e., 10: 5: 9.
Given: 30% of P = 0.6 of Q = of R
Convert percentages and decimals:
30% of P = 30 × P ÷ 100 = 3P ÷ 10
0.6 of Q = 6Q ÷ 10
of R = R ÷ 3 = 10R ÷ 30
Set all equal to a constant k:
3P ÷ 10 = k → P = 10k ÷ 3
6Q ÷ 10 = k → Q = 10k ÷ 6 = 5k ÷ 3
R ÷ 3 = k → R = 3k
P : Q : R = (10k ÷ 3) : (5k ÷ 3) : 3k = 10: 5: 9