A sum of ₹26000 is lent out in two parts in such a way that the interest on one part at 10% for 5 years is equal to that on another part at 9% for 6 years. Find the difference between two parts .

2000 600 500 1000

1000

Let the resp principals be P₁, P₂ P₁ x 10% x 5   =   P₂ x 9% x 6 P₁ x  50%       =   P₂ x 54% P₁ : P₂ = 27 : 25 52R(Total) = 26000 ⇒ R = 500  Difference = 2R = 1000