14. PERCENTAGE



Percentage increase and decrease

1. The price of a truck increases by 12%. If the original price was $14500, find the new price?

2. A farmer increases the yield on his farm by 15%. If the previous yield was 6500 tones, what is the

present yield?

3. A shop gives 15% discount for a set of tools costing $130. Calculate the sale price of the tools?

4. The cost of a computer in a computer shop is reduced by 12.5% in a sale. If it was priced at $7800, what is its sale price?

5. After a price increase of 10%, a television set cost $286. What was the price before increase?

6. A shop increases all its prices by 25%. A pair of jeans’ new price is $15, find its old price?

7. In a sale, a jacket costing $40 is reduced by 20%. What is the sale price?

8. Chris saves $3500 this year. This is 40% more than he saved last year. Calculate how much did he save last year?

9. The charge for a telephone call costing 12cents is increased by 10%. What is the new charge?

10. At the end of a year a factory produced 38500 television sets. If this represents a 10% increase from last year, calculate the number of sets that were made last year?

11. A computer manufacturer is expected to produce 24000 units by this year. If this represents a 4%

decrease from last year, calculate the no. of units produced last year?

12. A Saudi doctor has a salary of 16000 Saudi riyals per month. If his salary increases by 8%. Calculate

(a) His new monthly salary?

(b) The amount extra she receives every month?

13. A winter coat is priced at $ 100. In the sale its price is reduced by 25%.

i) Calculate the sale price of the coat?

ii) After the sale the price of the coat is increased by 35%. What is its price now?

MIXED EXERCISE

1. A coat costs $25. It is sold at a loss of 20%. Find the selling price

2. Stephen’ buys 24 cans of orange drink for $12 to sell in his shop. He sells all the cans

for $0.65 each.

(a) Work out her total profit.

(b) Work out her percentage profit.

3. Tom spends 85% of his pocket money. How much does he spend when his pocket

money is $12?

4. (a) Diana bought a car from a salesman for $8400. When Dina sells the car she makes a loss

of [pic]%.For how much did she sell the car?

(b) The salesman made a profit of 40% when he sold the car for $8400. How much did he

pay for the car?

5. Carlos buys a box of 50 oranges for $ 8. He sells all the oranges in the market for

25 cents each.

(a) Calculate the profit he makes.

(b) Calculate the percentage profit he makes on the cost price.

6. When Carla started work she was paid $80 each week. After 3 months her pay was increased by 15%. After the increase how much was she paid each week?

7. (a) Maria paid $1320 tax in 1999. She paid 10% less tax in 2000. Calculate the tax Maria

paid in 2000.

(b) $1320 was 10% more than she paid in 1998. Calculate the tax Maria paid in 1998.

8. The population of a city is 550 000.It is expected that this population will increase by

42% by the year 2008. Calculate the expected population in 2008.

9. (a) Tiago’s father buys a car for $18 500.During the first year its value falls by 20%.

Calculate its value at the end of the first year.

(b) Tiago buys a bicycle for $240.During the first year it loses [pic]of its value.

Calculate its value at the end of the first year.

10. A house was built in 1985 and cost $62 000.It was sold in 2003 for $310 000.

(a) Work out the 1985 price as a percentage of the 2003 price.

(b) Calculate the percentage increase in the price from 1985 to 2003

11. The population of a country in 2005 is 120,000, which is increased by 25%. Calculate the

population of 2004.

12. Labour costs of $78,000 in 2001 were 160% more than the labour costs in 2000.Calculate

the labour cost for 2000

13. An organization spends 10% of its income on administration and uses the rest for charitable work. In 1998 it used $234 000 for charitable work. Calculate its income in 1998.

14. The population of Newtown is 45,000. The population of Villanueva is 39,000.

i) Calculate the ratio of these populations in its simplest form

ii) In Newtown 28% of the population are below the age of twenty.

Calculate how many people in Newtown are below the age of twenty

iii) In Villanueva, 16,000 people are below the age of twenty.

Calculate the percentage of people in Villanueva below the age of twenty.

iv) The population of Newtown is 125% greater than it was fifty years ago.

Calculate the population of Newtown fifty years ago.

15. Each year a school organises a concert.

a) (i) In 2004 the cost of organising the concert was $ 385.In 2005 the cost was 10%

less than in 2004. Calculate the cost in 2005.

(ii) The cost of $ 385 in 2004 was 10% more than the cost in 2003.

Calculate the cost in 2003.

(iii) Calculate the percentage of increase or decrease from 2003 to 2005.

(b) In 2006, the number of tickets sold was 210. Out of these 115 were adults’ tickets

and remaining were students’ tickets.

(i) Adults tickets were $ 2.50 each and students tickets were $ 1.50 each.

Calculate the total amount received from selling the tickets.

(ii) In 2006, the cost of organising the concert was $ 410.

Calculate the percentage profit in 2006.

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