a wholesaler supplies 60 books while he was ordered to send 50 books by a retailer. a trade discount of 10 percent is also allowed. what is the net value of the discount to the retailer? Please help me with this question
Also with net discount I mean the answer in percent. Please can anyone help me!!!
Suppose that the cost of each of the origininal bools was $x per book
So the cost was 50x
He got a 10% discount, so the cost was (.9)50x
= 45x
but for 45x he actually got 60 books
so the cost of each book was only 45x/60
= 3x/4
As a percentage: (3x/4) / x
= 3/4 or 75%
which would be an effective discount of 25%
Illustration:
suppose he ordered 50 books at $12 each
cost would have been $600
but he got a 10% discount, so his cost would have been $540
But for $540 he got 60 books, so cost of each book
= $540/60 = $9.00
actual discount = $3.00
rate of discount = 3/12 = .25 = 25%
To find the net value of the discount to the retailer, we need to calculate the total value of books supplied by the wholesaler and then subtract the trade discount.
1. Calculate the total value of books supplied:
The wholesaler supplied 60 books.
2. Calculate the trade discount:
The trade discount allowed is 10 percent.
Trade discount = (10/100) * Total value of books supplied.
3. Calculate the total value of books supplied by the retailer:
Total value = Total value of books supplied - Trade discount.
Let's calculate the values step by step:
1. Total value of books supplied by the wholesaler:
Let's assume the price of each book is $x.
Total value of books supplied = 60 * x.
2. Trade discount:
Trade discount = (10/100) * (60 * x).
3. Total value of books supplied by the retailer:
Total value = (60 * x) - (10/100) * (60 * x).
Simplifying the equation:
Total value = 60 * x - 6 * x
Total value = 54 * x.
Therefore, the net value of the discount to the retailer is 54 * x.
To calculate the net value of the discount to the retailer, we need to know the retail price of each book and the trade discount rate.
The trade discount is given as 10 percent, which means the retailer gets a reduction of 10 percent off the retail price for each book.
Let's assume the retail price of each book is $X.
Step 1: Calculate the trade discount per book:
Trade discount = Trade discount rate * Retail price per book
Trade discount = 0.10 * X
Step 2: Calculate the total trade discount for all the books:
Total trade discount = Trade discount per book * Number of books supplied
Total trade discount = (0.10 * X) * 60
Now, we have the total value of the discount to the retailer for all the books.
However, we are still missing some information. We need to know either the retail price per book (X) or the total value of the books supplied.
If you can provide additional information, we will be able to calculate the net value of the discount to the retailer.