 The operating expenses for running the local gym was equal to 37% of each gym membership.

# Business Math 09 - Calculating Profit and Loss

This Math quiz is called 'Business Math 09 - Calculating Profit and Loss' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

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In another 8th grade Business Math quiz (Understanding Profit and Loss), the basics of understanding how profit and loss works in the business world was discussed. If you have not already taken that quiz, please check it out as it can help you here with this quiz.

As a very brief overview of profit and loss, a profit is the gain you receive on an investment you make. This includes interest earned on a savings account. However, in the business world it is the amount made above and beyond what it cost you to buy a product (unit cost). For example, if you buy dolls to sell and you buy 50 dolls for \$5.00 each and then you sell each doll for \$12.00, when you sell a doll for \$12.00 you then subtract your cost of \$5.00 leaving you a profit of \$7.00 (also referred to as the gross profit).

From the gross profit you must then subtract your overhead expenses (or operating expenses) leaving you a net profit. In order for a business to survive it must have a continuous net profit and very little net loss (when the overhead expenses are greater than the gross profit).

Again, if you have not done the quiz on Understanding Profit and Loss, please check it out first and then come back and take this quiz. In this quiz you are being asked to work out the following problems to see if you can determine what the net profit or the net loss will be.

1.
245 stools were purchased for a local dance hall outlet. Each stool’s unit cost was \$13.00. 168 stools were then sold for \$25.99 each. What is the total gross profit on the sold stools?
\$2,182.32
\$2,812.32
\$2,281.32
\$1,822.32
Working the problem:
245 stools at \$13.00 each
168 stools sold at \$25.99 each
168 x 25.99 = 4,366.32
168 x 13.00 = 2,184.00
\$4,366.32 - \$2,184.00 = \$2,182.32
Gross Profit is: \$2,182.32
2.
Leah opened up her own real estate agency. The agency’s commission for each sold property was 5%. In order to meet all of her overhead costs she calculated that for each house that sold at \$150,000.00 it would take 23.2% of the commission the agency received to cover her expenses so long as she sold 6 houses each month. If Leah sold 6 houses in a month, what would be the agency’s net profit for that month?
\$32,756.00
\$37,500.00
\$30,650.00
\$34,560.00
Working the problem:
\$150,000.00 per house at 5% commission
150,000 x 0.05 = \$7,500.00 commission per house
7,500 x 0.232 = \$1,740.00 (the 23.2% operating expenses needed per house)
\$7,500.00 x 6 = \$45,000.00 total commission on sale of 6 houses
\$1,740.00 x 6 = \$10,440.00 (operating expenses incurred each month)
\$45,000.00 - \$10,440.00 = \$34,560.00
Net Profit is: \$34,560.00 for one month selling 6 houses
3.
A new bridge was put in to connect two cities. The cost of the bridge was \$5,000,000.00. In order to pay off that amount a toll booth was placed on the bridge charging each car \$1.60 to cross over. The two cities want to pay off the building cost in a year plus make a \$250,000.00 profit by the end of the first year. How many cars will have to pass over the bridge in the first year to pay off the building costs and provide the cities with a \$250,000.00 profit?
2,831,205 cars
3,281,250 cars
2,381,520 cars
3,128,250 cars
Working the problem:
\$5,000,000.00 building cost
\$250,000.00 profit
\$5,000,000.00 + \$250,000.00 = \$5,250,000.00
\$1.60 per car
5,250,000 ÷ 1.60 = 3,281,250
Solution: 3,281,250 cars will need to cross the bridge to earn the cities the \$250,000.00 profit
4.
John estimated that his overhead expenses would be equal to 28% of the sales cost for each product he sold. He sold 600 baseball cards for \$9.25 each. They cost him \$3.75 each. What is his net profit (or net loss)?
\$1,446.00
\$1,546.00
\$1,646.00
\$1,746.00
Working the problem:
600 baseball cards at \$9.25 each
600 x 9.25 = \$5,550.00
600 x 3.75 = \$2,250.00
\$5,550.00 - \$2,250.00 = \$3,300.00
Gross Profit is: \$3,300.00
\$5,550.00 x .28 = \$1,554.00 (equals the 28%)
\$3,300.00 - \$1,554.00 = \$1,746.00
Net Profit is: \$1,746.00
5.
The operating expenses for running the local gym was equal to 37% of each gym membership. Each gym membership was \$590.00 per year. The gym needs to sell at least 700 yearly memberships to cover its yearly operating expenses. What is the gym’s yearly operating expenses?
\$215,810.00
\$215,180.00
\$152,180.00
\$152,810.00
Working the problem:
\$590.00 per year membership fee per person
\$590.00 x 700 = \$413,000.00
413,000 x 0.37 = \$152,810.00 (the 37%)
Yearly Operating Expenses is: \$152,810.00
6.
The outdoor concert hall sold 31,471 tickets for \$17.00 each. Its gross profit was \$346,181.00. What was the unit cost of each ticket?
\$10.50
\$9.00
\$6.00
\$8.70
Working the problem:
31,471 tickets for \$17.00 each
31,471 x 17 = \$535,007.00
Gross Profit is: \$346,181.00
\$535,007.00 - \$346,181.00 = \$188,826.00
188,826 ÷ 31,471 = \$6.00
Unit Cost is: \$6.00 (per ticket)
7.
The Lady’s Club bought 200 cakes from the bakery for \$3.50 per cake. They sold all 200 cakes for \$8.75 each. What was the Lady’s Club gross profit on their sales?
\$510.00
\$1,050.00
\$1,500.00
\$1,005.00
Working the problem:
200 cakes for \$3.50 each
200 x \$3.50 = \$700.00
200 x \$8.75 = \$1,750.00
\$1,750.00 - \$700.00 = \$1,050.00
Gross Profit is: \$1,050.00
8.
Jamie’s sub shop sold 310 sandwiches for \$4.75 each. Its gross profit was \$821.90. What was the unit cost of each sandwich?
\$2.10
\$3.20
\$2.40
\$3.05
Working the problem:
310 sandwiches for \$4.75 each
310 x 4.75 = \$1,472.50
Gross Profit is: \$821.90
\$1,472.50 - \$821.90 = \$650.60
650.60 ÷ 310 = \$2.0987
Unit Cost is: \$2.10 (rounded up)
9.
15 pairs of ice skates were bought for \$11.50 each. 7 pairs were sold for \$21.00. What is the total gross profit on the sold ice skates?
\$56.50
\$62.50
\$66.50
\$68.50
Working the problem:
15 pairs of ice skates at \$11.50 each
7 pairs sold at \$21.00 each
7 x 21 = 147
7 x 11.50 = 80.50
\$147.00 - \$80.50 = \$66.50
Gross Profit is: \$66.50
10.
Rosie’s Flower Shop bought 20 bundles of a dozen roses each for \$9.00 per bundle. The shop then re-bundled the roses into half dozen bundles and sold the half dozen bundles for \$12.00 each. What was the initial unit cost (per rose) and what was the gross profit per unit (per rose) after the re-bundling?
\$0.69 initial unit cost / \$1.50 gross profit after re-bundling
\$0.75 initial unit cost / \$1.25 gross profit after re-bundling
\$0.79 initial unit cost / \$1.15 gross profit after re-bundling
\$0.95 initial unit cost / \$1.05 gross profit after re-bundling
Working the problem:
20 bundles of a dozen roses each for \$9.00 per bundle
\$9.00 ÷ 12 = \$0.75 (initial unit cost/per rose)
\$12.00 ÷ 6 = \$2.00 (cost per rose after re-bundling)
\$2.00 - \$0.75 = \$1.25
Gross Profit per rose after re-bundling: \$1.25
Solution: \$0.75 initial unit cost and \$1.25 gross profit after re-bundling