Percentages

Finding p% of a number x

21)7(370100

30

70%30

:

100

%

of

Example

xp

xnumberaofP

More examples

600020000100

30

20000%30

)4(

47.36100

3647521

100

7

521%7

)3(

200)10(201000100

20

1000%20

)2(

of

Example

of

Example

of

Example

Word Problems

Fatima’s salary is QR 20000.Her company decided to give her 30% raise. What will be her new salary after the raise?

Example (1)

Solution

26000

600020000

600020000100

30

20000%30

salarynewThe

ofraiseThe

Example (2)

An television is listed a QR 20000 in a shop.If the shop advertises 30% discount, what will be the new price of the television after discount ?

Solution

14000

600020000

600020000100

30

20000%30

pricenewThe

ofdiscountThe

Example (3)

A small shop applies a markup rate of 30% on all of he items sold ( that’s the shop sells an item for an amount which is 30% more than the cost of the item)If the cost of an item to the shop is QR 20000, for how much the shop will sell that item?

Solution

26000

600020000

600020000100

30

20000%30

pricesellingThe

ofmarkupThe

Example (4)

A broker gets a 30% commission on selling used cars. If a car was sold for QR 20000, what will the commission(amount of money) the broker got? How much he owner of the car will end up with?

Solution

14000

600020000

600020000100

30

20000%30

)ker(

recievedowenerthethatamountThe

of

keepsbrothewhatcommissionThe

Finding the percentage p% of a number from another

%30%10070

21

?7021

:

%100

:

?

Answer

ofpercentwhatis

Example

y

x

Answer

yofpercentwhatisx

More examples

%30%10020000

6000:

?200006000

)4(

%25%10056

14:

?5614

)3(

%20%1001000

200:

?1000200

)2(

Answer

ofpercentwhatis

Example

Answer

ofpercentwhatis

Example

Answer

ofpercentwhatis

Example

Word Problems

Fatima’s salary is QR 20000. She received a raise and her new salary became QR 26000What percent was the raise?

Example (1)

Solution

salaryoldherofwasraiseThe

raiseThe

%30

%3010020000

6000

60002000026000

Example (2)

An television is listed at QR 20000 in a shop.It was sold for 14000 during the sale. What percent was the discount ?

Solution

%30%10020000

6000

60001400020000

discountThe

Example (3)

A small shop applies a markup rate on all of the items sold ( that’s the shop sells an item for an amount which is some percent more than the cost of the item)If the cost of an item to the shop is QR20000, and the shop sells the item for 26000, what is he markup rate?

Solution

%30

%10020000

6000

6000

2000026000

ratemarkupThe

markupThe

Example (4)

If a broker got a commission of QR 6000 on a used car that he sold for QR 20000, what percentage the broker charges?

Solution

%30

%1002000

6000

argker

eschrobthepercenageThe

III. Finding a number x if the p% of which is given

7030

10021

100

3021

21100

30

:

?)%3021(

,21%30

:

x

x

Then

numberthebexLe

Solution

numberwhatofis

numberthefindisnumberaofIf

Example

More examples

2000030

1006000

100

306000

100

306000

?)%306000(

.6000%30

)3(

56)4(1425

10014

100

2514

100

2514

?)%2514(

..14%25

)3(

100020

100200

100

20200

100

20200

?)%20200(

.200%20

)2(

xx

Solution

numberwhatofis

numbertheFindequalisnumberaof

Example

xx

Solution

numberwhatofis

numbertheFindequalisnumberaof

Example

xx

Solution

numberwhatofis

numbertheFindequalisnumberaof

Example

Word Problems

After getting a raise of 30% Fatima’s salary became 26000. What was her salary before the raise?

Example (1)

Solution

2000013

10260000

10

13260000

10

13

10

326000

100

3026000

;100

30

26000

,

'

x

xxx

xx

Thus

xraiseThe

Also

xraiseThe

Then

salaryoriginalsFatimabexLe

Example (2)

A shop advertises 30% discount. During the sale, a watch was sold for QR14000. What was the watch’s listed price before the sale.

Solution

200007

1014000

10

714000

10

7

10

314000

100

3014000

;100

30

14000

,

x

xxx

xx

Thus

xdiscountThe

Also

xdiscountThe

Then

watchtheofpriceoriginalthebexLe

Example (3)

A small shop applies a markup rate of 30% on all of he items sold ( that’s the shop sells an item for an amount which is 30% more than the actual cost of the item)An item is sold for QR 26000. What was the actual cost of that item (How much the shop had paid for it)?

Solution

2000013

1026000

10

1326000

10

13

10

326000

100

3026000

;100

30

26000

,

)(

x

xxx

xx

Thus

xmarkupThe

Also

xmarkupThe

Then

withitboughtshoptheamounttheitemtheofstcothebexLe

Example (4)

A broker charges 30% commission on selling used cars. If he gets a commission of QR 6000 on a sold car, for how much the car is sold? How much the owner receives?

Solution

14000600020000

2000030

1006000

100

306000

6000100

30

6000%30

,

recievesownertheamountThe

x

x

xof

Then

cartheofpricethebexLe

Example (5)

A broker charges 30% commission on selling used cars. If, after selling the car and deducting his commission, he handed the owner of a car QR 14000, for how much he sold it?

Solution

200007

1014000

10

714000

10

7

10

714000

10

314000

10

3

100

30%30

,

x

xx

xx

recievedownertheamountThe

xxxofcommisionThe

Then

forcarthesolderokbrtheamountthebexLe

Another Way

200007

1014000

10

714000

10

714000

10

7

10

314000

10

314000

14000

10

3

100

30%30

x

x

xxx

xx

x

recievedownertheWhatforsoldwascartheamountThe

commisionThe

xxxofcommisionThe