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

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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