How to find amount of profit - SAT Math

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Question

The cost of manufacturing a single teddy bear is $6.25. A teddy bear company sells 200 bears for $1750. What is the profit percentage per single bear?

Answer

First we must find out what the price is for one teddy bear, manufactured by this company. Thus we divide 1750 by 200 and find that each bear costs $8.75. To find out the profit per bear, we divide 8.75 by 6.25 to arrive at 1.4. The bears are thus sold for 140% of what it costs to make them, giving a 40% profit.

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Question

A craftsman builds a cabinet. He pays $250 to buy the wood and miscellaneous materials for the cabinet. He spends 20 hours building the cabinet. If he values his time at $40 per hour and expects a profit margin of 50% above labor and materials, how much should he charge for the cabinet?

Answer

Total Cost = Material Cost + Labor Cost + Profit

Labor Cost = $40/hour * 20 hours = $800

Profit Margin of 50% = Cost x 0.50 = $1050 x 0.50 = $525

Total Cost = $250 + $800 + $525 = $1575

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Question

Each wooden chair that a carpenter makes requires $20 worth of supplies. He then sells the chairs for $50 each. The carpenter recently discovered a new supplier that would allow him to spend 25% less on supplies. If he doesn't change his selling price, by what percent could the carpenter increase his profit by using the new supplier?

Answer

Using $20 worth of supplies and selling the chairs for $50 each, the carpenter is originally making a profit of $30 per chair.

The new supplier would reduce costs by 25% or 1/4. One-fourth of $20 is $5, so the new supplier would be $5 less, or $15.

If the selling price is the same ($50), then the carpenter would now make a profit of $35 per chair, a change of $5.

To calculate percent increase, divide the actual change in profit by the original profit amount, and multiply the result by 100%:

(Actual Change ÷ Original Amount) * 100% = 5/30 * 100% = 500%/30 = 16.7%

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Question

A sunglasses kiosk at the mall makes a $50 profit for every 6 pairs of sunglasses it sells. How many pairs of sunglasses must it sell to earn $1000 profit?

Answer

Divide the profit per 6 pairs into the total desired profit $1000/$50 = 20.

Multiply 20 by 6 sunglasses = 120 sunglasses. Or use 6/50 = x/1000 and solve for x.

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Question

Ricky works at a shoe shop, and earns $40 in commission for each pair of shoes he sells plus a $100 weekly salary. If Ricky receives no other money, which of the following expressions represents the total dollar amount Ricky receives for a week in which he sells n shoes?

Answer

If Ricky sells n shoes in a week, he earns $40_n_ in commission. His salary is a constant $100 per week, so his total payout is $100 + $40_n._

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Question

An entrepreneur started a company making floggles. The factory requires $1000 worth of fixed expenses to keep it running every month. She is able to produce one floggle at the cost of $4 and sell one floggle at the cost of $6. If she produces and sells 500 floggles in one month, what is her profit?

Answer

Profit = Income - Expenditures

Income = $6/floggle times 500 floggles = $3000

Expenditures = $1000 + $4/floggle times 500 floggles = $1000 + $2000 = $3000

Profit = 3000 - 3000 = 0

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Question

You are planning a New Year’s Eve bash. For each person attending, the caterer will charge you $15 for food, $10 for beverages, $5 for service. The band charges $2000 for the entire evening. You also have to pay the venue $2500 to rent the location for the night and $3 for parking for each attendee. If you expect 500 people to attend and you would like to make a $10000 profit for planning the event, how much must each ticket cost?

Answer

First determine total cost.

Caterer: Per person = $15 + $10 + $5 = $30 per person

Parking: Per person = $3 per person

Total per person = $33

$33 * 500 people = $16,500

Plus cost of renting venue + band = $2500 + $2000 = $4500

Total (net) cost = $16,500 + $4500 = $21,000

Total (gross) cost = net cost + profit = $21,000 + $10,000 = $31,000

Cost per ticket = Gross cost / # of attendee = $31,000 / 500 = $62

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Question

The Widget Company has annual revenues of $150,000. Their expenses over the same time frame was $75,000. What was the percent profit?

Answer

Profit = Revenue – Expense

% Profit = $ Profit ÷ $ Total Revenue

% Profit = ($150,000 – $75,000) ÷ $150,000 = 50%

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Question

Nicki sold 20 albums at $5 each. How many albums should Minaj sell at $4.50 to earn more than Nicki?

Answer

The answer is 23. 23*$4.50 = $103.50, which is more than what Nicki earned.

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Question

During Laura and Anna’s bake sale, 35 brownies, 12 cupcakes and 23 glasses of lemonade were sold. These goods cost $44 for the raw ingredients, and they sold for $79. What is the average profit per item?

Answer

Total profit ($35) divided by total items (70) yields the answer of $0.50 profit per item.

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Question

A bakery sells donuts for each. of the bakery's net income from donuts goes toward the cost of the ingredients, and another goes toward paying taxes. If the bakery sells donuts in one day, what is their total profit for the day?

Answer

Donuts are priced at $1.25 per unit and 230 were sold, so net income is calculated as such:

Cost of materials and tax are calculated as such, respectively:

Net profit is calculated by deducting cost of materials and tax from net income:

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Question

A fishing boat in Alaska nets in revenue from the salmon run. If local taxes are and each of the five crew members take a cut of the net income, what is the remaining profit for the boat's owners?

Answer

Of the $85,000 in revenue, five crew members and local taxes each take a 3% cut, the total of which is calculated as:

Next, we just subtract the expenses from tax and crew-member pay to determine net profit:

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