MHB  with Cost,Volumn,Profit and Trade Discount

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The discussion focuses on calculating break-even points, trade discounts, and markups in various business scenarios. The Scarlet Letter bookstore needs \$48,000 in sales to break even, while Rover's Friends must charge \$18 per dog to cover costs. The Peel Trading Company has a remaining balance of \$2,000 after making payments, with a total payment of \$7,310. Additionally, a book priced at \$8.91 has a cost of \$6.60 and a markup percentage of 25.9% based on the selling price. These calculations illustrate key financial concepts essential for business management.
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Hello everyone,

I have tried to solve the questions below, but I'm not sure if they are correct. Please help. Thank you.
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1/ The Scarlet Letter bookstore has \$85 000 of sales, variables costs of \$36 550, and fixed costs of \$27 360. What would it sales have to be to break even?

Variable cost/total revenue 36550/85000 = 0.43
1.00X = 27360 + 0.43X
X=48000

2/ Rover's Friends provides dog washing services. For each dog, supplies cost \$3 and wages are \$5. To provide this service, a special room and equipment are needed, at a cost of \$300 per month. Rover's Friends maintains an average of \$30 dogs washed each month. What must Rover's Friends charge as a price for the dog washing service to break even?

Variable cost = 3 + 5 = 8, fixed cost = 300.
(SP*30) = 30 + (8*30)
30SP=540
SP=18

3/ The Peel Trading Company received an invoice dated September 20 for \$16000 less 25% and 20%, terms 5/10, 2/30, n/60. Peel made a payment on September 30 to reduce the debt to \$5000 and a payment on October 20 to reduce the debt by \$3000. (a) What amount must Peel remit to pay the balance of the debt at the end of the credit period? (b) What is the total amount paid by Peel?

(a) 16000(1-0.25)(1-0.20) = 9600

(b) 9600-5000 = 4600
4600(1-0.05) = 4370 paid
9600-4600=5000 balance

5000-3000= 2000 balance
3000(1-0.02)= 2940 paid
The total amount paid by Peel was 4370 + 2940 = 7310

4/ Using a markup of 35% of cost, a store priced a book at \$8.91. (a) What was the cost of the book? (b) What is the markup as a percent of selling price?

(a) Selling price = cost + markup, cost = C
8.91 = C + 0.35C
8.91 = 1.35C
C=6.6

(b) 6.6(0.35) = 2.31
2.31/8.91 = 25.9%
 
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Hi isuck and welcome to MHB! :D

To allow dollar signs to render, use \\$.
 
Thank you for your help Greg1313.

greg1313 said:
Hi isuck and welcome to MHB! :D

To allow dollar signs to render, use \\$.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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