A shopkeeper has 96 articles of the same price. He sells 20 articles at a profit of 15%, 40 at a profit of 19%, and the remaining at a profit of 25%. He ends up making a profit of Rs. 27,740. The cost price of 1 article is?

1415.3

Let CP is x

20 × 15% of x + 40 × 19% of x + (96 - 20 - 40) × 25% of x = 27,740

(300% + 760% + 900)x = 27,740

x = \(\frac{27740}{19.6}\) = 1415.3