You had helped me with a similar question.

This one says :
A whole seller supplies 90 books while he was ordered to send 80 books by a retailer. If 15%trade discount was given, what was the net discount to the retailer?

I solved this one in the similar way to the one you helped me with but the answer doesn't match with the book. My book says answer is 27.5 % but I got 24.4%. There Was no answer for the one before this(the book had not printed the answer) for the previous question. Plzzzz help

To calculate the net discount to the retailer, we need to subtract the selling price after the trade discount from the original selling price, and then divide it by the original selling price, multiplied by 100 to get the percentage.

Let's break down the problem step-by-step:

1. The wholesaler supplies 90 books while being ordered to send 80 books. This means he has sent 10 extra books.

2. The trade discount given is 15%. This discount is usually given on the selling price of the books.

3. We need to find the net discount to the retailer, which means the difference between the original selling price and the selling price after the trade discount.

Let's assume the original selling price of each book is $x.

So, the original selling price for 90 books would be 90x dollars.

The selling price after the trade discount is 85% of the original selling price, which is 0.85x.

The selling price for 80 books after the trade discount would be 80 * 0.85x.

The net discount to the retailer is the difference between the original selling price and the selling price after the trade discount, which is (90x) - (80 * 0.85x).

Simplifying the equation, we have:

90x - 80 * 0.85x = 10x

The net discount to the retailer is then (10x / 90x) * 100 = 11.11%.

However, this calculation does not match the answer you mentioned in your book. Please double-check your calculations and ensure that all the information provided in the question is accurate.

To find the net discount to the retailer, we first need to determine the total cost of the 90 books supplied by the wholesaler.

Let's start by calculating the trade discount that was given. The trade discount is usually expressed as a percentage of the listed price. In this case, the trade discount is given as 15%.

So, the trade discount amount for the retailer would be:
Trade discount amount = Listed price × Trade discount rate
Trade discount amount = Listed price × 0.15

Next, we can calculate the total cost of the 90 books supplied by the wholesaler after the trade discount is applied. This total cost is known as the net amount.

Net amount = Listed price − Trade discount amount

Now, we can rewrite the equation using the given information. The wholesaler supplied 90 books when he was ordered to send 80 books. This means that the retailer only paid for 80 out of the 90 books.

Let's say the listed price per book is $x.

Total cost of 90 books after trade discount = 90x - (90x * 0.15)
Total cost of 80 books after trade discount = 80x - (80x * 0.15)

To find the net discount to the retailer, we need to find the difference between the total cost of 90 books and the total cost of 80 books after applying the trade discount.

Net discount = (Total cost of 90 books after trade discount - Total cost of 80 books after trade discount) / (Total cost of 90 books after trade discount) * 100

Now, let's calculate the net discount using the given information:

Net discount = ((90x - (90x * 0.15)) - (80x - (80x * 0.15))) / (90x - (90x * 0.15)) * 100

Simplifying the equation:

Net discount = ((90x - 13.5x) - (80x - 12x)) / (90x - 13.5x) * 100
Net discount = (76.5x - 68x) / (76.5x - 13.5x) * 100
Net discount = (8.5x) / (63x) * 100
Net discount = 13.5%

Based on the calculations, the net discount to the retailer is 13.5%, not 24.4% or 27.5% as mentioned in your book. It's possible that there might be a discrepancy in the method or calculation used in your book.