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?16.80%17.60%20%22%None

Let's solve this step by step:

Step 1: Calculate the marked price of the book The bookseller marked the price of the book 40% above the cost price. Let's assume the cost price of the book is $1 (this simplifies calculations and the final profit percentage will still be the same). So, the marked price of the book would be$1 + 40% of $1 =$1.40.

Step 2: Calculate the selling price of the books The bookseller sold 40 books at a discount of 10% and the remaining 60 books at a discount of 20%. So, the selling price for the first 40 books is $1.40 - 10$1.40 = $1.26 per book. And the selling price for the remaining 60 books is$1.40 - 20% of $1.40 =$1.12 per book.

Step 3: Calculate the total selling price The total selling price would be (40 books * $1.26/book) + (60 books *$1.12/book) = $50.4 +$67.2 = $117.6.

Step 4: Calculate the total cost price The total cost price for 100 books would be 100 books * $1/book =$100.

Step 5: Calculate the profit The profit is the total selling price minus the total cost price, which is $117.6 -$100 = $17.6.

Step 6: Calculate the profit percentage The profit percentage is the profit divided by the total cost price, times 100%, which is ($17.6 /$100) * 100% = 17.6%.

So, the bookseller's overall profit percentage is 17.6%.