Percentages and ratio · Ages 12–13

Marked prices and discounts 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.Marked $200, sold for $190: discount = $, discount percentage = %.
Fill in each blank
Answer:
2.Marked price $780, 10% off: selling price = $
Answer:
3.Marked $1,200: 10% off, then 10% off that. Selling price = $
Answer:
4.At 15% off, an item sells for $493. What is its marked price?
Answer:

13.A coat is marked $400 and sells for $224. What is the discount percentage?
Working:
Answer:
14.A shop marks an item costing $650 at 140% of its cost, then sells it at 25% off. What is the profit percentage?
Working:
Answer:
15.An item costs $600, is marked 40% above cost, and sells for $714 after a discount. Marked price = $, discount = %.
Fill in each blank
Working:
Answer:
16.20% off and then 20% off is the same as 36% off in one go.
True or false?
Working:
Answer:
17.Shop A takes 20% off and then 20% more; shop B takes 36% off once. The marked prices match. Which is cheaper?
- A. It depends on the price
- B. Shop A
- C. The same
- D. Shop B
Choose the right answer
Working:
Answer:
18.Ka-yee paid $414 for trainers at 10% off the marked price. What was the marked price?
Working:
Answer:

Show the answers and working

Marked prices and discounts worksheet: Answers and working

1. 10, 5
Discount = 200 − 190 = 10; the percentage is of the marked price: 10 ÷ 200 × 100% = 5%.
2. 702
Discount = 780 × 10% = 78, so the price = 780 − 78 = 702.
3. 972
After the first it is 1080; the second is of 1080: 1080 × (1 − 10%) = 972. Not 10% + 10% at once.
4. 580 dollars
15% off means paying 0.85: marked price × 0.85 = 493, so it is 493 ÷ 0.85 = 580.

5. D. $560
30% off leaves 70% to pay: 800 × 70% = 560.
6. True
Paying 70% leaves 100% − 70% = 30% off.
7. True
Paying 85% leaves 100% − 85% = 15% off.
8. A. $540
10% off leaves 90% to pay: 600 × 90% = 540.
9. C. 47.5%
You pay (1 − 30%) × (1 − 25%) = 52.5%, the same as 100% − 52.5% = 47.5% off.
10. D. 46%
You pay (1 − 40%) × (1 − 10%) = 54%, the same as 100% − 54% = 46% off.
11. B. $144
Marked price = 100 × (1 + 60%) = 160; selling price = 160 × (1 − 10%) = 144.
12. D. $224
Marked price = 200 × (1 + 40%) = 280; selling price = 280 × (1 − 20%) = 224.

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

13. 44%
The discount is 400 − 224 = 176, on the marked price: 176 ÷ 400 × 100% = 44%.
14. 5%
The price is 1.4 × 0.75 of the cost: 650 × 1.4 × 0.75 = 682.5, so the profit is 5%. The cost itself doesn't change the answer.
15. 840, 15
Marked price = 600 × (1 + 40%) = 840; the discount is of it: (840 − 714) ÷ 840 × 100% = 15%.
16. True
You pay (1 − 20%) × (1 − 20%), the same as 36% off, less than 20% + 20%.
17. C. The same
Shop A charges (1 − 20%) × (1 − 20%), that is 36% off; shop B 36% off.
18. 460 dollars
Marked price × 0.9 = 414, so it is 414 ÷ 0.9 = 460. The discount is of the marked price, not 10% of 414.

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