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
I just copied my previous solution and changed the numbers:
Suppose that the cost of each of the original books was $x per book
So the cost was 80x
He got a 15% discount, so the cost was (.85)80x
= 68x
but for 68x he actually got 90 books
so the cost of each book was only 68x/90
= 34x/45
As a percentage: (34x/45) / x
= .7555.. or appr 75.6 %
which would be an effective discount of 24.4%
----- the same as yours. mmmhhhh, I am very confident in my logic to this question.
I even gave an example showing that in my earlier post. I assume you are in the US. I am in Canada, but I don't if the definition of trade discount is different.
I reckon the book has a misprint answer because, my friends said that they had the same concept and had done the solution the same way. Thanks for the help any way reiny. And anyway I am from Nepal not USA.
Of course, I'd be happy to help you with this question! Let's work through it together step by step.
To find the net discount to the retailer, we need to calculate the difference between the original price and the discounted price.
Let's start by calculating the original price. The wholesaler supplied 90 books instead of the ordered 80 books. So, let's assume the original price per book is "x" dollars. Therefore, the original price for 90 books would be 90x dollars.
Now let's calculate the discounted price. The problem states that a 15% trade discount was given. To find the discounted price, we need to multiply the original price by (100% - 15%) or 85%. So, the discounted price would be 0.85 * 90x dollars.
The net discount to the retailer would be the difference between the original price and the discounted price, divided by the original price, multiplied by 100 to convert it to a percentage.
Net discount = [(Original price - Discounted price) / Original price] * 100
Substituting the values we calculated:
Net discount = [(90x - 0.85 * 90x) / 90x] * 100
Net discount = [(90x(1 - 0.85)) / 90x] * 100
Net discount = (0.15 / 1) * 100
Net discount = 15%
Therefore, based on the calculation, the net discount to the retailer should be 15%.
If the book states that the answer is 27.5%, there might be a mistake in the calculation or a different approach used in the book. It's always a good idea to double-check your calculations or consult your teacher for clarification.
I hope this explanation helps you understand the problem better. If you have any further questions, please let me know!