Rs. 26000 is invested in two parts in such away that the simple interest on 1st part at 10% per annum for 5 years is equals the simple interest on 2nd part at 9% per annum for 6 years. Find amount of both parts.

12500, 13500

P₁ x 10% x 5  =   P₂ x 9% x 6

P₁ x  50          =   P₂ x 54

P₁ x  25          =   P₂ x 27

⇒ P₁ : P₂ = 27 : 25

⇒ Total = 52R =26000

⇒ R = 500

Amount for Part I = 27R = 13500

Amount for Part II = 25R = 12500