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?16.80%17.60%20%22%None

Let's solve this step by step:

Step 1: Let's assume the cost price of each book is $1. So, the total cost price for 100 books is$100.

Step 2: The bookseller marked the price 40% above the cost price. So, the marked price of each book is $1 + 40$1 = $1.4.

Step 3: He sold 40 books at a discount of 10%. So, the selling price of each of these 40 books is $1.4 - 10$1.4 = $1.26. Therefore, the total selling price for these 40 books is 40 *$1.26 = $50.4.

Step 4: He sold the remaining 60 books at a discount of 20%. So, the selling price of each of these 60 books is $1.4 - 20$1.4 = $1.12. Therefore, the total selling price for these 60 books is 60 *$1.12 = $67.2.

Step 5: The total selling price for all 100 books is

Let's solve this step by step:

Step 1: Let's assume the cost price of each book is $1. So, the total cost price for 100 books is$100.

Step 2: The bookseller marked the price 40% above the cost price. So, the marked price of each book is $1 + 40$1 = $1.4.

Step 3: He sold 40 books giving a discount of 10%. So, the selling price of each of these 40 books is $1.4 - 10$1.4 = $1.26. Therefore, the total selling price for these 40 books is 40 *$1.26 = $50.4.

Step 4: He sold the remaining 60 books at a discount of 20%. So, the selling price of each of these 60 books is $1.4 - 20$1.4 = $1.12. Therefore, the total selling price for these 60 books is 60 *$1.12 = $67.2.

Step 5: The total selling price for all 100 books is $50.4 +$67.2 = $117.6.

Step 6: The overall profit is the total selling price minus the total cost price, which is $117.6 -$100 = $17.6.

Step 7: The overall profit percentage is (Profit / Total Cost Price) * 100 = ($17.6 /$100) * 100 = 17.6%.

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

Let's solve this step by step:

Step 1: Let's assume the cost price of each book is $1. So, the total cost price for 100 books is$100.

Step 2: The bookseller marked the price 40% above the cost price. So, the marked price of each book is $1 + 40$1 = $1.4.

Step 3: He sold 40 books giving a discount of 10%. So, the selling price of each of these 40 books is $1.4 - 10$1.4 = $1.26. Therefore, the total selling price for these 40 books is 40 *$1.26 = $50.4.

Step 4: He sold the remaining 60 books at a discount of 20%. So, the selling price of each of these 60 books is $1.4 - 20$1.4 = $1.12. Therefore, the total selling price for these 60 books is 60 *$1.12 = $67.2.

Step 5: The total selling price for all 100 books is $50.4 +$67.2 = $117.6.

Step 6: The overall profit is the total selling price minus the total cost price, which is $117.6 -$100 = $17.6.

Step 7: The overall profit percentage is (Profit / Total Cost Price) * 100 = ($17.6 /$100) * 100 = 17.6%.

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