Decimals and percentages · Ages 11–12

Discounts worksheet

Part of: Percentages

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Decimals and percentages · Ages 11–12

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.An item's price is $360, and it is sold at 20% off. What is the sale price?
Answer:
2.An item's price is $350, and it is sold at 10% off. What is the sale price?
Answer:
3.An item's price is $640, and it is sold at 35% off. What is the sale price?
Answer:
4.An item's price is $790, and it is sold at 10% off. How much do you save?
Answer:
5.An item's price was $560, and it now sells for $476. What percentage of the price is the sale price?
Answer:
6.An item's price was $60, and it now sells for $36. What percentage of the price is the sale price?
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7.An item's price is $190, and it is sold at 30% off. How much do you save?
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8.An item is sold at 10% off. What percentage of the price do you pay?
- A. 90%
- B. 9%
- C. 91%
- D. 10%
Choose the right answer
Answer:
9.An item is sold at 40% off. What percentage of the price do you pay?
- A. 94%
- B. 40%
- C. 6%
- D. 60%
Choose the right answer
Answer:
10.The same backpack is 10% off at Shop A and 35% off at Shop B. Which shop is cheaper?
- A. Shop A
- B. Shop B
- C. They cost the same
- D. You need the price to tell
Choose the right answer
Answer:
11.An item priced at $1,700 is sold at 30% off, so it is $510 cheaper.
True or false?
Answer:
12.An item priced at $100 is sold at 10% off, so it is $10 cheaper.
True or false?
Answer:

13.At a cha chaan teng, an afternoon tea set is $50, and on Mondays everything is 10% off. Tsz-ching's family buys 2 sets on a Monday. How much do they pay in all?
Working:
Answer:
14.Two shops sell the same headphones, priced at $1,700. Shop A takes 10% off; Shop B takes $540 off. How much do you pay at the cheaper shop?
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15.Ka-yee pays $105 for a backpack priced at $140. What percentage was taken off?
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16.A computer is priced at $6,300. It is 10% off, and members get a further 10% off the reduced price. How much does a member pay?
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17.In a department store sale, a jacket priced at $700 is 10% off. How much does Ka-yee pay for it?
Working:
Answer:
18.May buys trainers priced at $140, and the shop takes 25% off. How much does May save?
Working:
Answer:

Show the answers and working

Discounts worksheet: Answers and working

1. 288 dollars
20% off means paying what percentage of the price? Then find that percentage of 360.
20% off means paying 80% of the price: 360 × 80100 = 288.
2. 315 dollars
10% off means paying what percentage of the price? Then find that percentage of 350.
10% off means paying 90% of the price: 350 × 90100 = 315.
3. 416 dollars
At 35% off, what percentage of 640 do you pay? Then work it out.
35% off means paying 65%: 640 × 65100 = 416.
4. 79 dollars
The saving is the part taken off: 10% of the price, 790.
10% off: 790 × 10100 = 79.
5. 85%
Divide the sale price by the old price, 476 ÷ 560, then turn it into a percentage.
476 ÷ 560 × 100% = 85%, so it is 15% off.
6. 60%
Divide the sale price by the old price, 36 ÷ 60, then turn it into a percentage.
36 ÷ 60 × 100% = 60%, so it is 40% off.
7. 57 dollars
The saving is the part taken off: 30% of the price, 190.
30% off: 190 × 30100 = 57.

8. A. 90%
At 10% off, how much of the full 100% is left to pay?
10% off leaves 100% − 10% = 90% to pay.
9. D. 60%
At 40% off, how much of the full 100% is left to pay?
40% off leaves 100% − 40% = 60% to pay.
10. B. Shop B
Turn both shops into “the percentage of the price you pay”, then compare.
As the percentage you pay: Shop A 90%, Shop B 65%; the smaller is cheaper.
11. True
30% off: work out how much comes off $1,700, then compare with 510.
30% off means paying 70%, so 30% comes off: 1700 × 30100 = 510.
12. True
10% off: work out how much comes off $100, then compare with 10.
10% off means paying 90%, so 10% comes off: 100 × 10100 = 10.

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

13. 90 dollars
First find one set's price at 10% off, then think about 2 sets.
Each set: 50 × 100 − 10100 = 45; 2 sets: 45 × 2 = 90.
14. 1,160 dollars
Work out both prices: Shop A at 10% off, Shop B 1700 − 540.
Shop A: 1700 × 100 − 10100 = 1530; Shop B: 1700 − 540 = 1160; the cheaper is 1160.
15. 25%
First find how much less it cost, 140 − 105, then what percentage of 140 that is.
It cost 140 − 105 = 35 less; on the price: 35 ÷ 140 × 100% = 25%.
16. 5,103 dollars
First find the price at 10% off.
The members' 10% off is taken from that reduced price, not the original.
First 10% off: 6300 × 100 − 10100 = 5670; then 10% off 5670: 5670 × 100 − 10100 = 5103.
17. 630 dollars
At 10% off, what percentage of $700 is left to pay?
10% off means paying 90%: 700 × 90100 = 630.
18. 35 dollars
At 25% off, the saving is 25% of the price. Work that out from $140.
25% off: 140 × 25100 = 35.

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