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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