Question

If 25% of (P + Q) = 75% of (P - Q), then the value of P : Q is:
1. 2 : 1
2. 3 : 1
3. 1 : 2
4. 1 : 3

Answer 1

Correct Answer - Option 1 : 2 : 1

Given:

25% of (P + Q) = 75% of (P - Q)

Calculations:

Solving the given equation,

⇒ (25/100) × (P + Q) = (75/100) × (P - Q)

⇒ (1/4) × (P + Q) = (3/4) × (P - Q)

⇒ (P + Q) = 3 × (P - Q)

⇒ P + Q = 3P - 3Q

⇒ 2P = 4Q

⇒ P = 2Q

⇒ P/Q = 2/1

∴ The value of P ∶ Q is 2 ∶ 1