The cost price of a book is ₹ 250. If the successive discounts offered on the book are 10%, 15% and 20%, then find the overall discount % of the book.

Explanation

Given: The cost price of a book is ₹ 250. The successive discounts offered on the book are 10%, 15% and 20% Concept used: Successive discount = x + y - (x × y)/100 Here, x and y are two individual discounts Calculation: Successive discount of 1st two discount = 10 + 15 - (10 × 15)/100 ⇒ 25 - 1.5 ⇒ 23.5% Now, Effective successive discount = 23.5 + 20 - (23.5 × 20)/100 ⇒ 43.5 - 4.7 ⇒ 38.8% ∴ The overall discount % of the book is 38.8.