Decimals and percentages · Ages 11–12

Service charges worksheet

Part of: Percentages

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Decimals and percentages · Ages 11–12

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

1.A bill comes to $100, plus a 8% service charge. How much is the service charge?
Answer:
2.A restaurant adds a 10% service charge to the bill. The food on one bill comes to $130. How much is the service charge?
Answer:
3.A restaurant adds a 10% service charge to the bill. The food on one bill comes to $400. How much is the service charge?
Answer:
4.A bill comes to $260, and the service charge on it is $20.8. What is the rate, as a percentage?
Answer:
5.A bill comes to $400. With a 20% service charge added, how much do you pay in all?
Answer:
6.A bill comes to $660, and the service charge on it is $132. What is the rate, as a percentage?
Answer:
7.A bill comes to $470. With a 10% service charge added, how much do you pay in all?
Answer:
8.A bill has a 8% service charge added, and the charge is $1.6. How much do you pay in all, with the charge?
Answer:

9.A bill comes to $370, plus a 10% service charge. Which calculation gives the total you pay?
- A. 370 × 0.9
- B. 370 + 10
- C. 370 × 1.1
- D. 370 × 0.1
Choose the right answer
Answer:
10.A bill comes to $900, plus a 5% service charge. Which calculation gives the total you pay?
- A. 900 × 1.05
- B. 900 × 0.95
- C. 900 + 5
- D. 900 × 0.05
Choose the right answer
Answer:
11.A bill comes to $80. With a 8% service charge added, you pay $86.4 in all.
True or false?
Answer:
12.A bill comes to $670. With a 8% service charge added, you pay $678 in all.
True or false?
Answer:

13.Tsz-ching's family eats at a restaurant that adds a 10% service charge. The food comes to $1,100. How much do they pay with the charge?
Working:
Answer:
14.A Chinese restaurant raises its service charge from 8% to 9%. The bill for Ka-lok's family banquet is $2,000. How much more does it cost with the new charge?
Working:
Answer:
15.With a 10% service charge, Tsz-ching's family pays $352 in all. What was the bill before the charge?
Working:
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16.At a restaurant that adds a 12% service charge, Tsz-hin's family orders main dishes for $260 and drinks and desserts for $150. How much is the service charge altogether?
Working:
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17.At a restaurant that adds a 10% service charge, Ka-yan's family orders main dishes for $100 and drinks and desserts for $170. How much is the service charge altogether?
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Answer:
18.A Chinese restaurant raises its service charge from 6% to 9%. The bill for Chi-keung's family banquet is $7,500. How much more does it cost with the new charge?
Working:
Answer:

Show the answers and working

Service charges worksheet: Answers and working

1. 8 dollars
The charge is 8% of the bill: find 8% of 100.
Charge = bill × rate: 100 × 8100 = 8.
2. 13 dollars
10% is one tenth of the bill.
10% is one tenth: 130 ÷ 10 = 13, so the service charge is $13.
3. 40 dollars
10% is one tenth of the bill.
10% is one tenth: 400 ÷ 10 = 40, so the service charge is $40.
4. 8%
Rate = charge ÷ bill. Work out 20.8 ÷ 260, then turn it into a percentage.
Rate = charge ÷ bill: 20.8 ÷ 260 × 100 = 8, so 8%.
5. 480 dollars
Find the charge first, 20% of 400, then add the bill back on.
The charge is 400 × 20100 = 80; 400 + 80 = 480.
6. 20%
Rate = charge ÷ bill. Work out 132 ÷ 660, then turn it into a percentage.
Rate = charge ÷ bill: 132 ÷ 660 × 100 = 20, so 20%.
7. 517 dollars
Find the charge first, 10% of 470, then add the bill back on.
The charge is 470 × 10100 = 47; 470 + 47 = 517.
8. 21.6 dollars
The $1.6 charge is 8% of the bill. Work back to the bill first.
The charge is 8% of the bill, so the bill = 1.6 ÷ 8 × 100 = 20; 20 + 1.6 = 21.6.

9. C. 370 × 1.1
With the charge you pay 100% + 10% of the bill. What is that as a decimal?
Adding 10% means paying 100% + 10% of the bill: 370 × 1.1.
10. A. 900 × 1.05
With the charge you pay 100% + 5% of the bill. What is that as a decimal?
Adding 5% means paying 100% + 5% of the bill: 900 × 1.05.
11. True
With the charge you pay (100 + 8)% of the bill. Work it out for 80 and compare with 86.4.
With the charge you pay (100 + 8)% of the bill: 80 × 100 + 8100 = 86.4.
12. False
With the charge you pay (100 + 8)% of the bill. Work it out for 670 and compare with 678.
With the charge you pay (100 + 8)% of the bill: 670 × 100 + 8100 = 723.6.

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

13. 1,210 dollars
Find the charge first, 10% of 1100, then add the bill back on.
The charge is 1100 × 10100 = 110; 1100 + 110 = 1210.
14. 20 dollars
How many percentage points higher is the rate? Work out 9% − 8%, then apply it to 2000.
The rate is 9% − 8% = 1% higher: 2000 × 1100 = 20.
15. 320 dollars
The $352 paid with the charge is (100 + 10)% of the bill. Work back from there.
The total is 110% of the bill: 352 ÷ 110 × 100 = 320.
16. 49.2 dollars
Add the two parts first, then find the charge.
The bill adds to 260 + 150 = 410; 410 × 12100 = 49.2.
17. 27 dollars
Add the two parts first, then find the charge.
The bill adds to 100 + 170 = 270; 270 × 10100 = 27.
18. 225 dollars
How many percentage points higher is the rate? Work out 9% − 6%, then apply it to 7500.
The rate is 9% − 6% = 3% higher: 7500 × 3100 = 225.

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