Percentages and ratio · Ages 12–13

Tax, pay and commission 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.Monthly pay $14,900, a 9.5% rise: $ more a month, and the new pay = $.
Fill in each blank
Answer:
2.Taxable amount $124,000, tax rate 2%: tax = $
Answer:
3.Monthly pay $11,600, a 4% rise: $ more a month, and the new pay = $.
Fill in each blank
Answer:
4.Basic pay $9,500, plus 3% of sales as commission. With $210,000 of sales in a month, that month's pay = $
Answer:
5.With 12% tax added, an item costs $683.2. What was its price before tax?
Answer:
6.Basic pay $8,500, plus 5% of sales as commission. With $291,000 of sales in a month, that month's pay = $
Answer:
7.A year's income of $421,000: after a $100,000 allowance, the rest is taxed at 14%. Tax = $
Answer:

8.Sales of $158,000 at a 6% commission rate earn $948 in commission.
True or false?
Answer:
9.A restaurant bill is $390, plus a 5% service charge. How much is paid in all?
- A. $409.5
- B. $370.5
- C. $395
- D. $19.5
Choose the right answer
Answer:
10.Sales of $46,000 at a 10% commission rate earn $460 in commission.
True or false?
Answer:
11.A restaurant bill is $1,720, plus a 5% service charge. How much is paid in all?
- A. $1,725
- B. $86
- C. $1,634
- D. $1,806
Choose the right answer
Answer:
12.A $760 bill: 20% off and then a 15% service charge, or the 15% charge first and then 20% off. Which costs less?
- A. Adding the charge first
- B. It depends on the bill
- C. Taking the discount first
- D. They cost the same
Choose the right answer
Answer:

13.Tsz-ching's brother's pay went from $20,000 to $22,500 a month. What percentage rise is that?
Working:
Answer:
14.May's cousin earns $38,900 a month and pays 5% of it into a pension fund. She pays $ a month and takes home $.
Fill in each blank
Working:
Answer:
15.A firm pays commission of 3% on the first $100,000 of sales and 6% on the rest. With $314,000 of sales in a month, what is the commission?
Working:
Answer:
16.Sales stay the same, and the commission rate goes from 5% up to 8%, so the commission rises 60%.
True or false?
Working:
Answer:
17.A property pays rates of 4% of its rateable value a year. Its rateable value is $259,200 a year. How much is paid each quarter?
Working:
Answer:
18.Chi-keung's uncle earns $32,000 a month. His pay is cut 10%, then a year later raised 10%. How does it compare with before?
- A. $3,200 less
- B. $320 more
- C. The same
- D. $320 less
Choose the right answer
Working:
Answer:

Show the answers and working

Tax, pay and commission worksheet: Answers and working

1. 1,415.5, 16,315.5
A rise is of the old pay: 14900 × 9.5% = 1415.5, and 14900 + 1415.5 = 16315.5.
2. 2,480
Tax = taxable amount × rate = 124000 × 2% = 2480.
3. 464, 12,064
A rise is of the old pay: 11600 × 4% = 464, and 11600 + 464 = 12064.
4. 15,800
Commission is of the sales: 210000 × 3% = 6300, so the pay = 9500 + 6300 = 15800.
5. 610 dollars
The tax is of the price before tax: x × 1.12 = 683.2, so x = 683.2 ÷ 1.12 = 610.
6. 23,050
Commission is of the sales: 291000 × 5% = 14550, so the pay = 8500 + 14550 = 23050.
7. 44,940
The tax is on what is left after the allowance: 421000 − 100000 = 321000, and 321000 × 14% = 44940. Not 421000 × 14%.

8. False
6% is 6100: 158000 × 6100 = 9480.
9. A. $409.5
Service charge = 390 × 5% = 19.5, so 390 + 19.5 = 409.5 in all.
10. False
10% is 10100: 46000 × 10100 = 4600.
11. D. $1,806
Service charge = 1720 × 5% = 86, so 1720 + 86 = 1806 in all.
12. D. They cost the same
760 × 0.8 × 1.15 = 699.2, and 760 × 1.15 × 0.8 is 699.2 too.

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

13. 12.5%
A rise of 22500 − 20000 = 2500, on the old pay: 2500 ÷ 20000 × 100% = 12.5%.
14. 1,945, 36,955
38900 × 5% = 1945, so she takes home 38900 − 1945 = 36955.
15. 15,840 dollars
100000 × 3% = 3000; the rest is 314000 − 100000 = 214000, and 214000 × 6% = 12840; 15840 in all.
16. True
Commission goes from 5% of sales to 8%: 3 ÷ 5 more than before, a 60% rise.
17. 2,592 dollars
A year's rates: 259200 × 4% = 10368; a quarter is 10368 ÷ 4 = 2592.
18. D. $320 less
32000 × (1 − 10%) × (1 + 10%) = 31680, which is 320 less.

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