Two numbers P and Q are such that the sum of 10% of P and 5% of Q is one-fourth of the sum of 15% of P and 25% of Q. Find the ratio of P to Q.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 1 : 5.
Given:
The sum of 10% of P and 5% of Q is one-fourth of the sum of 15% of P and 25% of Q
Calculations:
According to the question;
⇒ 10% of P + 5% of Q = (1/4) × (15% of P + 25% of Q)
⇒ 40% P + 20% Q = 15% P + 25% Q
⇒ 40% P - 15% P = 25% Q - 20% Q
⇒ 25% P = 5% Q
⇒ Q = 5P
⇒ P/Q = 1/5
Hence, the required ratio = 1 : 5