Percentage f1 Klang

8/3/2019 Percentage f1 Klang

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Wednesday, January 04, 2012

TOPIC : PERCENTAGE

SUBTOPIC :

Concept of percentage and relationship between percentage and fraction or

decimalLEARNING OUTCOME:

i. Express percentage as the number of parts in every 100

ii. Change fraction and decimal to percentage and vice versa

SUBTOPIC:

Perform computation and solve problems involving percentage.

LEARNING OUTCOME :

i. Find the percentage of a quantity

ii. Find the percentage one number is of anotheriii. Find a number given the percentage

iv. Find the percentage of increase or decrease

v) Solve problems involving percentage


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Percentages


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Percentages

A percentage is a

fraction out of 100.

%

%%


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Lets count how many squares are there?

The total squares = 100

1 2 3 4 5 6 7 8 9 10


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How many colour squares there?


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20 out of 100

100

20

5

1

2.0= %20=


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Express the shaded area as a percentage.

%46

Q1.


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Q2.

%50


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Q3.

%100


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Percentages

Fractions Decimals


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Changing fraction to percentages

5

2

%40

10052

52

!

v!

Q1.


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Q2.

6

5

%3

183

%100

6

5

6

5

!

v!


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Changing decimals to percentages

Q1.

12.0

0.12 = 0.12 X 100%

= 12%


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Q2.

09.1

1.09 = 1.09 X 100%

= 109%


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Changing percentages to fractions

40 %

Q1.

5

2100

40%40

!

!


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Q2. 120 %

120120 %

100

6

5

115

!

!

!


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Changing percentages to decimals

Q1.30 % 30

30 %1000.3

!

!


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Q2. 110 %2

1

101 210 %2 100

21100

2 110.5

100

10.5

100

0.105

!

! z

! v

!

!


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Q3. 125 %

125125 %100

1.25

!

!


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Exercise

Complete the following table:

Fraction

2.50.6Decimal

140.5%75%Percentage

f.e.d.c.b.a.Question

3

5

355


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Homework

Page 25. Exercise 2

Questions : 1, 2 , 3 , 4 and 5


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Computations involving percentages

Find the percentage of a quantity

a. 25 % of RM120

25120 30

100v !

Therefore,

25% of RM120 is RM 30


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b. There are 30 fishes in Mr. Lim pond and

60 % of the fishes are blue. How many of

the fishes are blue ?

6030 18

100

v !

There are 18 blue fishes in the pond.


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FIND PERCENTAGE OF CHANGE

INCREASE DECREASE


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INCREASE

6

10

CHANGES IN

VALUE

10- 6 = 4


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6

10

ORIGINAL

VALUE?


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Percentage change= change in value x100 %original value

Change in value 10 6 = 4

Original value 10Percentagechange =

%40

%100

10

4

!

v


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Example 2:

Daniels weight increased from 35 kg

to 42 kg. Findthe percentage ofincrease.

35kg

42kgPercentage of increase

%20

%100

35

3542

!

v

!


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Page 29, Exercise 6

No 1 : (a), (b), (c)

No 2

No 4


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DECREASE

8

4


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Change in value 8 4 = 4

Percentagechange =

Original value 8

8

4

X 100%= 25%

Percentage change= change in value x100 %

original value


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Homework

Page : 29, Exercise 6

No 2 : a, b cNo 5

No 6


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Solving problems involving percentage

A. ProfitProfit is what you gain when you sellsomething for more than what you paid for

it.

Profit = Selling price - Cost price

ProfitPercentage profit = 100 %Cost price

v


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The following table shows the cost price andthe selling price of 3 types of fruits.

Complete the table and find out which fruitmade the most profit ?

RM400RM250Mangoes

RM350RM300Papaya

RM600RM500Durians

SellingCost

Percentage

profitProfit

PriceFruits


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Solution:

:

Profit = RM600 - RM500

= RM100

100Percentage profit = 100 %

500

20 %

DURIAN

v

!

:


= RM150


250

60 %

MANGOES

v

!

:


= RM50


300

50

3

216 %

3

PAPAYA

v

!

!

Therefore,mangoes made

the most profit


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B. Loss

You suffer a loss when the sellingprice is less than the cost price

Loss = Cost price - Selling priceLoss

Percentage loss = 100%Cost price

v


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Ahmad bought a car for RM50 000. Threeyears later, he sold the car for RM35 000.What was the loss and the percentage loss on

the sale of the car ?

Loss = RM50000 - RM35000= RM15000

15000

Percentage loss = 100 %50000

= 30%

v

Solution :


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C. Discount

Discount is a reuction in the original

cost price of an item.

Discount

= Original selling price - New selling price

Discount

Percentage diskaun =100 %

Original selling pricev


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Find the percentage of the discount given?

Before discount After discount


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Solution:

%10080

)6080( v

%25

%1008020

!

v!


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A bag which is normally sold for

RM240, is sold for RM180 during a

sale. What is the percentage discount ?

Solution : Discount = RM240 - RM180

= RM6060

Percentage diskaun = 100 %240

= 25%

v


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D. Simple interest

Simple interest is the amount of

money given or charged by bankor finance company based on the

principal.

Simple interest= Interest rate Principal Time

Simple interestInterest rate = 100%Principal Time

v v

v

v


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Siti Zubaidah deposits RM8 000 in a

finance company for 2 years at an

interest rate of 3.8 % per annum. How

much interest does she earn at the end

of the period ?Simple interest

= 3.8% RM8000 2 years

3.8= 8000 2

100

= 608Siti Zubaidah will receive RM608 as interest

at the end of the period.

v v

v v

@


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E. Dividend

Dividend is the part of a

companys profits that is paid tothe companys shareholders.

Dividend = Rate of dividend Investment

DividendRate of dividend = 100%

Investment

v

v


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Mr. Albert invested RM5 000 in a

unit trust fund. The unit trust fund

pays a dividend of 4.5 % a year.Calculate the amount of dividend

that he will receive after one year.

Solution :Dividend = 4.5% RM5000

4.5= 5000

100

= 225

Mr. Albert will receive RM225 in dividend

v

v

@


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F. Commission

Commission is the amount of

money given to a middleman oragent for services (selling or

promotion) provided.


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Azlan is paid a commission of 5 %

for every house she sells. If he sells

a house for RM150 000, what is hiscommission ?

Solution :

Commission = 5% RM150000

5= 150000

100

= 7 500

Azlan will receive RM7 500 as commission.

v

v

@

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Percentage f1 Klang