A bookseller bought 100 copies of a book and marked its price at 40% above the cost price. He sold 40 books giving a discount of 10% and th… — Answer & Discussion

A bookseller bought 100 copies of a book and marked its price at 40% above the cost price. He sold 40 books giving a discount of 10% and the remaining at a discount of 20%. What is his overall profit percentage?

A16.8%
B17.6%
C20%
D21.4%

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Discussion 1

CCommunity30 May 2019

Let the cost price of one book be Rs. ‘x’

Marked price of one book = (100 + 40)% of x = 1.4x

Selling price of 40 books = 40 × (1.4x – 10% of 1.4x) = 40 × (1.4x – 0.14x) = 50.4x

Selling price of 60 books = 60 × (1.4x – 20% of 1.4x) = 60 × (1.4x – 0.28x) = 67.2x

Total selling price of 100 books = 50.4x + 67.2x = 117.6x

Total cost price of 100 books = 100x

Profit earned on 100 books = 117.6x – 100x = 17.6x

∴ Profit percentage = (17.6x/100x) × 100 = 17.6%