Decimals and percentages · Ages 11–12

Using percentages together worksheet

Part of: Percentages

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Decimals and percentages · Ages 11–12

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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.

13.A shopkeeper buys an item for $140 and sells it for 40% more than that. What is the selling price, in dollars?
Working:
Answer:
14.A coat used to cost $240. Now it is 30% off. What is its sale price, in dollars?
Working:
Answer:
15.Tsz-hin puts $13,500 in the bank at 3% interest a year. How many dollars of interest will he get after one year?
Answer as a decimal
Working:
Answer:
16.Last year 720 people joined a charity walk. This year the number rose by 20%. How many people joined this year?
Working:
Answer:
17.Tsz-hin puts $18,000 in the bank at 5% interest a year. How many dollars of interest will he get after one year?
Answer as a decimal
Working:
Answer:
18.A shopkeeper buys an item for $80 and sells it for 10% more than that. What is the selling price, in dollars?
Working:
Answer:

Show the answers and working

Using percentages together worksheet: Answers and working

1. 400 increased by 30% = 520
Up 30% leaves 100% + 30% = 130% of the number: 400 × 130 = 52000, 52000 ÷ 100 = 520
2. $400, 50% off: $200
50% off leaves 50% of the price: 400 × 50 = 20000, 20000 ÷ 100 = 200
3. $40, 10% off: $36
10% off leaves 90% of the price: 40 × 90 = 3600, 3600 ÷ 100 = 36
4. 20 decreased by 60% = 8
Down 60% leaves 100% − 60% = 40% of the number: 20 × 40 = 800, 800 ÷ 100 = 8
5. 40 decreased by 5% = 38
Down 5% leaves 100% − 5% = 95% of the number: 40 × 95 = 3800, 3800 ÷ 100 = 38
6. 20 decreased by 5% = 19
Down 5% leaves 100% − 5% = 95% of the number: 20 × 95 = 1900, 1900 ÷ 100 = 19
7. 250 increased by 40% = 350
Up 40% leaves 100% + 40% = 140% of the number: 250 × 140 = 35000, 35000 ÷ 100 = 350
8. 20 increased by 10% = 22
Up 10% leaves 100% + 10% = 110% of the number: 20 × 110 = 2200, 2200 ÷ 100 = 22
9. 40 decreased by 50% = 20
Down 50% leaves 100% − 50% = 50% of the number: 40 × 50 = 2000, 2000 ÷ 100 = 20
10. Orange: 180 of 300 trees = 60%
180 ÷ 300 × 100%: 180 × 100 = 18000, 18000 ÷ 300 = 60, so 60%
11. Read 30% of 180 pages = 54
30% of 180: 180 × 30%, 180 × 30 = 5400, 5400 ÷ 100 = 54
12. $500, 20% off: $400
20% off leaves 80% of the price: 500 × 80 = 40000, 40000 ÷ 100 = 400

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

13. A shopkeeper buys an item for $140 and sells it for 40% more than that. What is the selling price, in dollars? (Answer: 196 dollars)
140 × 40 ÷ 100 = 56; 140 + 140 × 40 ÷ 100 = 196
14. A coat used to cost $240. Now it is 30% off. What is its sale price, in dollars? (Answer: 168 dollars)
30% off means paying 70% of the price; 240 × 7 ÷ 10 = 168
15. Tsz-hin puts $13,500 in the bank at 3% interest a year. How many dollars of interest will he get after one year? (Answer: 405 dollars)
13500 × 3 ÷ 100 = 405
16. Last year 720 people joined a charity walk. This year the number rose by 20%. How many people joined this year? (Answer: 864 people)
720 × 20 ÷ 100 = 144; 720 + 720 × 20 ÷ 100 = 864
17. Tsz-hin puts $18,000 in the bank at 5% interest a year. How many dollars of interest will he get after one year? (Answer: 900 dollars)
18000 × 5 ÷ 100 = 900
18. A shopkeeper buys an item for $80 and sells it for 10% more than that. What is the selling price, in dollars? (Answer: 88 dollars)
80 × 10 ÷ 100 = 8; 80 + 80 × 10 ÷ 100 = 88

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