A sum of ₹13600 is lent out in two parts in such a way that the interest on one part at 8% for 6 years is equal to that on another part at 6% for 9 years. Find the difference between two parts.

1600 800 1200 1000

800

Let the resp principals be P₁, P₂ P₁ x 8% x 6   =   P₂ x 6% x 9 P₁ x  48%       =   P₂ x 54% P₁ : P₂ = 8 : 9 17R(Total) = 13600 ⇒ 1R = 800  Difference = 1R = 800