A sum of ₹25600 is lent out in two parts in such a way that the interest on one part at 7% for 5 years is equal to that on another part at 9% for 5 years. Find the difference between two parts .

1600 2000 2400 3200

3200

Let the resp principals be P₁, P₂ P₁ x 7% x 5   =   P₂ x 9% x 5 P₁ x  35%       =   P₂ x 45% P₁ : P₂ = 7 : 9 16R(Total) = 25600 ⇒ 1R = 1600  Difference = 2R = 1600 × 2 = 3200/-