APPLICATION OF NUMBERUNIT ELEVEN

PERCENTAGES

Produced by Frank Pettitt

at Woolwich College

EXAMPLE

A council sold an old people's home for £50,000. The broker received a 6% commission on the sale. The amount of commission received by the broker was £3,000. Which of these items is the base, the rate, and the portion?

SOLUTION

The base is £50,000. The rate is 6%. The portion is £3,000

Finding the portion. When the base and rate are known, multiply the base by the rate to determine the portion.

Portion = Base X Rate

£3,000 = £50,000 X .06

EXAMPLE

What is 5% of £240?

SOLUTION

Portion = Base X Rate

= £240 X .05

= £12

EXAMPLE

42 is 8% of what number?

SOLUTION

Base = Portion / Rate

= 42 / .08

= 525

EXAMPLE

What % (percentage) of 670 is 134?

SOLUTION

Rate = Portion / Base

= 134 / 670

= .2

= 20%

NOTE:

.02 = 2%

.2 = 20%

2.0 = 200%

COMPLETE ALL QUESTIONS PLEASE.

1. Pickleswick Hospital has an annual payroll of £304,265. The hospital is considering a 7% across-the-board pay increase. What additional amount will the Hospital have to provide in its budget for the next year if the raise is granted?

2. Snobthorpe, a thriving suburban community, charge real estate developers 20% of the cost of road construction in new residential developments. What was the total cost of road building in a development if the community charged the developers £42,000?.

3. Skintwich Borough increased the rent 15% for a flat in an old folk's home. One of the tenants has been paying £275 monthly rent.

a) How much additional rent will the tenant be required to pay?

b) How much rent will the tenant be required to pay following the increase?

4. Cottonwich College of Further Education recently awarded 156 grants. A survey was conducted and 61% of students indicated that they intended to pursue their studies further. How many students intend to pursue their studies further?

5. VAT is reduced to 5%. How much VAT is collected on a £21.40 sale?

6. Arron made a 10% deposit on two reserved seat tickets for a tennis tournament. His deposit was £11.00

a) What was the total cost of the two tickets?

b) What is the remaining balance for the tickets?

7. If 442 of the 613 employees of Curewell Hospital participate in an optional retirement plan, what percentage of the Hospital's workers participate?

8. A student paid £150 on a debt. This payment was 20% of the debt. What was the total debt?

9. An operation theatre is valued at £420,000 and is insured for £336,000. What percentage of the total value is insured?

10. Frank was earning £150 a week before receiving a 4% raise. How much does he earn following the raise?

III. PERCENTAGE REDUCTION

EXAMPLE

A camera costing £100 has had its price reduced by 35%. What is its reduced price?

SOLUTION

a) £100 / 100 = 1

b) 1 X 35 = 35

c) £100 - 35 = 65

d) Reduced price = £65

11. A camera costing £100 has had its price reduced by 30%. What is its reduced price?

12. A course of health treatment costing £100 has had its price reduced by 17%. What is its reduced price?

13. A course of health treatment costing £200 has had its price reduced by 30%. What is its reduced price?

14. A course of health treatment costing £100 has had its price reduced by 50%. What is its reduced price?

15. A course of health treatment costing £300 has had its price reduced by 30%. What is its reduced price?

16. A course of health treatment costing £50 has had its price reduced by 20%. What is its reduced price?

17. A course of health treatment costing £120 has had its price reduced by 20%. What is its reduced price?

18. A course of health treatment costing £800 has had its price reduced by 40%. What is its reduced price?

19. A course of health treatment costing £800 has had its price reduced by 20%. What is its reduced price?

20. A course of health treatment costing £500 has had its price reduced by 20%. What is its reduced price?

21. A course of health treatment costing £500 has had its price reduced by 50%. What is its reduced price?

22. A course of health treatment costing £1000 has had its price reduced by 30%. What is its reduced price?

23. A course of health treatment costing £600 has had its price reduced by 10%. What is its reduced price?

24. A course of health treatment costing £600 has had its price reduced by 5%. What is its reduced price?

III. PERCENTAGE INCREASE

EXAMPLE

A course of health treatment costing £100 has had its price increased by 35%. What is its increased price?

SOLUTION

a) £100 / 100 = 1

b) 1 X 35 = 35

c) £100 + 35 = 135

d) Increased price = £135

25. A course of health treatment costing £100 has had its price increased by 30%. What is its increased price?

26. A course of health treatment costing £100 has had its price increased by 30%. What is its increased price?

27. A course of health treatment costing £200 has had its price increased by 30%. What is its increased price?

28. A course of health treatment costing £100 has had its price increased by 50%. What is its increased price?

29. A course of health treatment costing £300 has had its price increased by 30%. What is its increased price?

30. A course of health treatment costing £50 has had its price increased by 20%. What is its increased price?

31. A course of health treatment costing £120 has had its price increased by 20%. What is its increased price?

32. A course of health treatment costing £800 has had its price increased by 40%. What is its increased price?

33. A course of health treatment costing £800 has had its price increased by 20%. What is its increased price?

34. A course of health treatment costing £500 has had its price increased by 20%. What is its increased price?

35. A course of health treatment costing £500 has had its price increased by 50%. What is its increased price?

36. A course of health treatment costing £1000 has had its price increased by 30%. What is its increased price?

37. A course of health treatment costing £600 has had its price increased by 10%. What is its increased price?

38. A course of health treatment costing £600 has had its price increased by 5%. What is its increased price?

39. A course of health treatment costing £1600 has had its price increased by 10%. What is its increased price?

40. A course of health treatment costing £1600 has had its price increased by 5%. What is its increased price?