Two numbers P and Q are such that the sum of 8% of P and 4% of Q is two-thirds of the sum of 5% of P and 7% of Q. Find the ratio P : Q.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 1 : 7.
Calculations:
(8% × P + 4% × Q) = 2/3 × (5% × P + 7% × Q)
⇒ (24% × P + 12% × Q) = 10% × P + 14% × Q
⇒ 24% × P - 10% × P = 12% × Q - 10% × Q
⇒ 14% × P = 2% × Q
⇒ P : Q = 1 : 7