Percentages and ratio · Ages 12–13
Percentages (I) worksheet
Covers: Percentage increase and decrease, Back to the original value, One change after another, Profit and loss, Marked prices and discounts, Simple and compound interest, Tax, pay and commission
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Percentages (I) worksheet
Percentages and ratio · Ages 12–13
Numsprite
numsprite.com
Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.A price goes up from $500 to $523. By what percentage did it increase?
Answer:
2.A number decreased by 15% is 119. The number was
Answer:
3.A number goes up 30%, then down 20%. It ends at % of where it started
Answer:
4.Cost $500, selling price $426. What is the loss percentage?
Answer:
5.Basic pay $10,500, plus 4% of sales as commission. With $222,000 of sales in a month, that month's pay = $
Answer:
Part B: Choose, or true or false (2 marks each)
6.400 is increased by 20%. What is the new value?
- A. 480
- B. 80
- C. 420
- D. 320
Choose the right answer
Answer:
7.A number increased by 60% is now 96 more than before. What is the number now?
- A. 160
- B. 256
- C. 64
- D. 153.6
Choose the right answer
Answer:
8.A $100 item goes up 50%, then down 50%. How does its price now compare with before?
- A. The same
- B. 25% lower
- C. 50% lower
- D. 25% higher
Choose the right answer
Answer:
9.Cost $60, selling price $45: the loss percentage is 33.3%.
True or false?
Answer:
10.An item marked $360 is sold at 40% off. What is the selling price?
- A. $144
- B. $216
- C. $338.4
- D. $320
Choose the right answer
Answer:
11.40% off, then 25% off: what single discount is that the same as?
- A. 10%
- B. 55%
- C. 65%
- D. 45%
Choose the right answer
Answer:
12.On $10,000 at 3% a year, the simple interest for 4 years is $300.
True or false?
Answer:
Part C: Word problems (4 marks each)
13.A phone costs $3,625 after a 25% rise. With the old price $x: x × = 3625, x = .
Fill in each blank
Working:
Answer:
14.Company A's sales are 50% more than B's, and B's are 30% more than C's. By what percentage are A's more than C's?
- A. 95%
- B. 80%
- C. 15%
- D. 40%
Choose the right answer
Working:
Answer:
15.May's dad buys a batch of goods for $4,800 and sells it all for $5,280. Profit = $, profit percentage = %.
Fill in each blank
Working:
Answer:
16.A TV is marked $4,900 and sold at 40% off. Discount = $, selling price = $.
Fill in each blank
Working:
Answer:
17.A deposit earns $14,220 simple interest in 6 years at 6% a year. What is the principal?
Working:
Answer:
18.May's family eats out: $2,530 of food plus a 10% service charge. Service charge = $, total = $.
Fill in each blank
Working:
Answer:
Show the answers and working
Percentages (I) worksheet: Answers and working
Part A: Working out and filling in
1. 4.6%
It went up by 523 − 500 = 23, and 23 ÷ 500 × 100% = 4.6%. A percentage can be a decimal.
2. 140
x × (1 − 15%) = 119, so x = 119 ÷ 0.85 = 140. Not 119 plus 15% of 119.
3. 104
Multiply: 1.3 × 0.8 = 1.04, that is 104%. Or start from 100 and go step by step.
4. 14.8%
Loss = 500 − 426 = 74, and 74 ÷ 500 × 100% = 14.8%.
5. 19,380
Commission is of the sales: 222000 × 4% = 8880, so the pay = 10500 + 8880 = 19380.
Part B: Choose, or true or false
6. A. 480
400 × 20% = 80, and 400 + 80 = 480. Or in one step: 400 × 1.2 = 480.
7. B. 256
96 is 60% of the original, so the original = 96 ÷ 60% = 160, and now it is 160 + 96 = 256.
8. B. 25% lower
100 × 1.5 × 0.5 = 75, 25 below the old price, so 25% lower.
9. False
Loss = 60 − 45 = 15, and the loss percentage is of the cost: 15 ÷ 60 × 100% = 25%.
10. B. $216
40% off leaves 60% to pay: 360 × 60% = 216.
11. B. 55%
You pay (1 − 40%) × (1 − 25%) = 45%, the same as 100% − 45% = 55% off.
12. False
One year's interest is 10000 × 3% = 300; 4 years make 300 × 4 = 1200.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 1.25, 2,900
Up 25% is times 1.25: x = 3625 ÷ 1.25 = 2900.
14. A. 95%
Say C is 100. B is 100 + 30, and A is that times 1 + 50%: (1 + 50%) × (1 + 30%) = 1 + 95%.
15. 480, 10
Profit = 5280 − 4800 = 480; on the cost: 480 ÷ 4800 × 100% = 10%.
16. 1,960, 2,940
40% of 4900 is 1960, so it sells for 4900 − 1960 = 2940.
17. 39,500 dollars
6 years make 6% × 6 = 36% of the principal: 14220 ÷ 36% = 39500.
18. 253, 2,783
2530 × 10% = 253, and 2530 + 253 = 2783.
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