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 ?

₹200

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.