Percentage and Money Worksheet
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Percentage and Money Worksheet
Answer each question. All money amounts are in pounds sterling. Show your working clearly.
1. Priya earns £28,000 per year. She receives a 4% pay rise. What is her new annual salary?
2. Marcus earns £18,500 per year. His salary increases by 3.5%. How much extra does he earn each month after the rise? Give your answer to the nearest penny.
3. Sian puts £500 into a savings account that pays 3% simple interest per year. How much interest does she earn after 2 years?
4. Tom deposits £1,200 in an account offering 2.5% simple interest per year. What is the total amount in the account after 3 years?
5. A restaurant adds a 12.5% service charge to the bill. The bill before the charge is £64. What is the total amount to pay?
6. A family has a monthly income of £3,200. They spend 35% on rent, 20% on food, and 15% on bills. How much money is left each month?
7. Three friends split a restaurant bill of £78 equally. They each want to leave a 10% tip on their share. How much does each person pay in total?
8. A loan of £4,000 charges simple interest at 6% per year. How much interest is owed after 18 months?
9. Leila spends £420 on food in a month. This is 14% of her monthly take-home pay. What is her monthly take-home pay?
10. A worker earns £16.50 per hour. They receive a 6% pay rise. What is their new hourly rate?
11. A savings account holds £850. It earns 4% simple interest per year. How much will be in the account after 5 years?
12. A household budget is £2,500 per month. They want to save 8% of this. How much will they save in a year?
13. James earns £32,500. He pays 20% income tax on earnings above a £12,570 personal allowance. How much income tax does he pay in a year?
14. A café adds a 10% service charge to all bills. A customer's bill including the service charge comes to £55. What was the bill before the charge?
15. Two colleagues, Adam and Beth, both receive pay rises. Adam earns £26,000 and gets a 5% rise. Beth earns £22,000 and gets a 7% rise. Who receives the greater cash increase?
16. A student borrows £800 interest-free from a family member. They agree to repay 15% of the total each month. How many full months will it take to repay the loan?
17. A pension fund grows by 5% simple interest every year. If £6,000 is invested, how much is the fund worth after 4 years?
18. A hairdresser charges £45 for a haircut. She wants to increase her prices by 8%. What will the new price be?
19. A worker's pay was cut from £2,800 per month to £2,520 per month. Calculate the percentage decrease in their pay.
20. An electricity bill increases by 18% to £295.40. What was the original bill before the increase?
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Worked Answers
1. £29,120
4% of £28,000 = £1,120. New salary = £28,000 + £1,120 = £29,120.
2. £53.96 per month extra
3.5% of £18,500 = £647.50 extra per year. Per month = £647.50 ÷ 12 = £53.96 (to the nearest penny).
3. £30 interest
Simple interest per year = 3% of £500 = £15. Over 2 years = £15 × 2 = £30.
4. £1,290
Simple interest per year = 2.5% of £1,200 = £30. Over 3 years = £30 × 3 = £90. Total = £1,200 + £90 = £1,290.
5. £72
12.5% of £64 = £8. Total = £64 + £8 = £72.
6. £960 left
Total spent: 35% + 20% + 15% = 70%. 70% of £3,200 = £2,240. Remaining = £3,200 − £2,240 = £960.
7. £28.60 each
Each person's share = £78 ÷ 3 = £26. Tip = 10% of £26 = £2.60. Total per person = £26 + £2.60 = £28.60.
8. £360
Simple interest per year = 6% of £4,000 = £240. 18 months = 1.5 years. Interest = £240 × 1.5 = £360.
9. £3,000
14% of monthly pay = £420. Monthly pay = £420 ÷ 0.14 = £3,000.
10. £17.49 per hour
6% of £16.50 = £0.99. New rate = £16.50 + £0.99 = £17.49.
11. £1,020
Simple interest per year = 4% of £850 = £34. Over 5 years = £34 × 5 = £170. Total = £850 + £170 = £1,020.
12. £2,400 per year
Monthly saving = 8% of £2,500 = £200. Annual saving = £200 × 12 = £2,400.
13. £3,986
Taxable income = £32,500 − £12,570 = £19,930. Income tax = 20% of £19,930 = £3,986.
14. £50
£55 = 110% of the original bill. Original = £55 ÷ 1.10 = £50.
15. Adam receives the greater cash increase.
Adam: 5% of £26,000 = £1,300. Beth: 7% of £22,000 = £1,540. Beth's cash increase is actually larger. Beth receives the greater cash increase.
16. 7 full months
Monthly repayment = 15% of £800 = £120. £800 ÷ £120 = 6.67 months. They need 7 full months (with a smaller final payment).
17. £7,200
Simple interest per year = 5% of £6,000 = £300. Over 4 years = £300 × 4 = £1,200. Total = £6,000 + £1,200 = £7,200.
18. £48.60
8% of £45 = £3.60. New price = £45 + £3.60 = £48.60.
19. 10% decrease
Reduction = £2,800 − £2,520 = £280. Percentage = 280 ÷ 2,800 × 100 = 10%.
20. £250.34 (to the nearest penny)
£295.40 = 118% of the original. Original = £295.40 ÷ 1.18 = £250.34.
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