A sum of ₹3,400 is divided among P and Q in such a way that $\frac{3}{4}$ of P's share is equal to $\frac{2}{3}$ of Q's share. What is the positive difference between the shares of P and Q ?
Answer & explanation
Correct answer: option 3
Here,
$\frac{3}{4}$ P = $\frac{2}{3}$ Q
⇒ 9P = 8Q
⇒ P : Q = 8 : 9
⇒ (8 + 9) units = Rs. 3400
⇒ 17 units = 3400
⇒ 1 unit = 200
⇒ (Q - P) = 9 - 8 = 1 x 200 = Rs. 200.