**PERCENTAGE**

1.
Find
12% of 7.5 m.

Answer: 12% of 7.5 m = 12% × 7.5 m = 0.9 m

2. A family go on a skiing holiday to America.

a)
The
hotel has 840 rooms.

735 rooms are occupied.

Calculate the percentage of rooms that are occupied.

Answer: (735/840)
×
100% = 87.5%

b)
A
ski lift when full takes 4000 passengers per hour.

This
lift works for 10 hours a day.

One
day this lift is 90% full for 3 hours and 75% full for 7 hours.

Work
out the number of passengers who take the lift that day

Answer:
90% × 4,000 × 3 + 75% × 4,000 × 7 = 10,800 + 21,000 = 31,800 passengers

3. A mobile phone shop sold 21 mobile phones a day. This is
40% below the daily target. What is the target number of mobile phone to be
sold a day?

Answer: (100
– 40)% × 21 = 60/100 × 21 = 12,6 = 13

4. Jed sells desserts for $24 each. Each dessert costs
$12.80 to make.

a) Work out his percentage profit.

Answer:

Given CP =$12.80; SP = $24

Profit = SP – CP

Profit = $24 – $12.80

Profit = $ 11.20

Profit % = (profit/CP) × 100

Profit % = (11.20/12.80) × 100%

Profit % = 87.5%

** **

b) The cost to make each dessert increases to $13.60. Jed
wants to make the same percentage profit. Work out the new selling price.

Answer:

87.5 % = (profit/CP) × 100%

87.5 % = (profit/$13.60) × 100%

Profit = (87.5 × $13.60)/100

Profit = $11,9

$11,9 = SP – $13.60

SP = $25.5

5. Matthew spent 25% of the money he had on magazines and
60% of the remaining money on novel. If he then had $7.50 left, how much did he
spend on the novel?

Answer:

If total sum of money he had is
*a *

He had $7.50 left

$7.50 = (100 – 25 – 60)% × *a*

$7.50 = 15% × *a*

* a* = $50

The money he spend on the novel
is:

60% × *a* = 60% × $50 = $30

percentage worksheet with answers