Percentages and ratio · Ages 12–13

Profit and loss worksheet

Part of: Percentages (I)

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Percentages and ratio · Ages 12–13

Numsprite
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Name:Date:Score:／48

Write each answer in the space. For word problems, show your working and write a sentence answer.

1.Cost $400, selling price $560: profit = $, profit percentage = %.
Fill in each blank
Answer:
2.Cost $640, 55% profit: selling price = $
Answer:
3.Cost $320, 20% profit: selling price = $
Answer:
4.Cost $80, selling price $120: profit = $, profit percentage = %.
Fill in each blank
Answer:
5.Selling price $88, a 45% loss: cost = $
Answer:
6.An item sells for $46 at a 15% profit. What did it cost?
Answer:
7.An item sells for $696 at a 20% profit. What did it cost?
Answer:
8.Cost $120, selling price $27. What is the loss percentage?
Answer:
9.Cost $250, selling price $121. What is the loss percentage?
Answer:

10.Cost $120, selling price $90: the loss percentage is 25%.
True or false?
Answer:
11.Cost $40, selling price $60. What is the profit percentage?
- A. 33.3%
- B. 150%
- C. 20%
- D. 50%
Choose the right answer
Answer:
12.Two items each sell for $198: one at a 10% profit, the other at a 10% loss. Overall, what happens?
- A. No profit, no loss
- B. A profit of $4
- C. A loss of $22
- D. A loss of $4
Choose the right answer
Answer:

13.An item sells for $176 at a 10% profit. May says: "The profit is 176 × 10% = $17.6." Which is right?
- A. Wrong; the profit is $10
- B. Wrong; the cost is $158.4
- C. Right; the profit is $17.6
- D. Wrong; the profit is $16
Choose the right answer
Working:
Answer:
14.A shop buys 12 T-shirts for $960 and sells them all at $120 each. What is the profit percentage?
Working:
Answer:
15.Ming bought a games console for $1,500 and later sold it at a 45% loss. It sold for $, a loss of $.
Fill in each blank
Working:
Answer:
16.Two items sell for $720 each, one at a 20% profit and the other at a 20% loss. What is the overall loss percentage?
Working:
Answer:
17.Ka-yee's dad buys a batch of goods for $1,100 and sells it all for $1,155. Profit = $, profit percentage = %.
Fill in each blank
Working:
Answer:
18.Ming sells an old bike for $1,912.5 at a 15% loss. What did the bike cost?
Working:
Answer:

Show the answers and working

Profit and loss worksheet: Answers and working

1. 160, 40
Profit = 560 − 400 = 160; the percentage is of the cost: 160 ÷ 400 × 100% = 40%.
2. 992
Profit = 640 × 55% = 352, so the price = 640 + 352 = 992; or in one step, 640 × 1.55 = 992.
3. 384
Profit = 320 × 20% = 64, so the price = 320 + 64 = 384; or in one step, 320 × 1.2 = 384.
4. 40, 50
Profit = 120 − 80 = 40; the percentage is of the cost: 40 ÷ 80 × 100% = 50%.
5. 160
The loss is of the cost: cost × 0.55 = 88, so cost = 88 ÷ 0.55 = 160. Not 88 plus 45% of 88.
6. 40 dollars
Cost × 1.15 = 46, so cost = 46 ÷ 1.15 = 40. Check: 40 × 1.15 = 46.
7. 580 dollars
Cost × 1.2 = 696, so cost = 696 ÷ 1.2 = 580. Check: 580 × 1.2 = 696.
8. 77.5%
Loss = 120 − 27 = 93, and 93 ÷ 120 × 100% = 77.5%.
9. 51.6%
Loss = 250 − 121 = 129, and 129 ÷ 250 × 100% = 51.6%.

10. True
Loss = 120 − 90 = 30, and the loss percentage is of the cost: 30 ÷ 120 × 100% = 25%.
11. D. 50%
Profit = 60 − 40 = 20, and the profit percentage = 20 ÷ 40 × 100% = 50%.
12. D. A loss of $4
The costs are 198 ÷ (1 + 10%) = 180 and 198 ÷ (1 − 10%) = 220, 400 in all; they sell for 396, a loss of $4.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. D. Wrong; the profit is $16
Cost × (1 + 10%) = 176, so the cost is 160 and the profit 176 − 160 = 16.
14. 50%
Takings 12 × 120 = 1440, profit 1440 − 960 = 480, and 480 ÷ 960 × 100% = 50%.
15. 825, 675
Price = 1500 × (1 − 45%) = 825, and the loss = 1500 − 825 = 675.
16. 4%
The costs are 600 and 900, 1500 together; they sell for 2 × 720, a loss of 60, and 60 ÷ 1500 × 100% = 4%.
17. 55, 5
Profit = 1155 − 1100 = 55; on the cost: 55 ÷ 1100 × 100% = 5%.
18. 2,250 dollars
The loss is of the cost: cost × 0.85 = 1912.5, so the cost was 2250.

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