Percentages. Finding p% of a number x More examples.
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Transcript of Percentages. Finding p% of a number x More examples.
![Page 1: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/1.jpg)
Percentages
![Page 2: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/2.jpg)
Finding p% of a number x
![Page 3: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/3.jpg)
21)7(370100
30
70%30
:
100
%
of
Example
xp
xnumberaofP
![Page 4: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/4.jpg)
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
![Page 5: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/5.jpg)
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)
![Page 6: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/6.jpg)
Solution
26000
600020000
600020000100
30
20000%30
salarynewThe
ofraiseThe
![Page 7: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/7.jpg)
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 ?
![Page 8: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/8.jpg)
Solution
14000
600020000
600020000100
30
20000%30
pricenewThe
ofdiscountThe
![Page 9: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/9.jpg)
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?
![Page 10: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/10.jpg)
Solution
26000
600020000
600020000100
30
20000%30
pricesellingThe
ofmarkupThe
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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?
![Page 12: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/12.jpg)
Solution
14000
600020000
600020000100
30
20000%30
)ker(
recievedowenerthethatamountThe
of
keepsbrothewhatcommissionThe
![Page 13: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/13.jpg)
Finding the percentage p% of a number from another
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%30%10070
21
?7021
:
%100
:
?
Answer
ofpercentwhatis
Example
y
x
Answer
yofpercentwhatisx
![Page 15: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/15.jpg)
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
![Page 16: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/16.jpg)
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)
![Page 17: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/17.jpg)
Solution
salaryoldherofwasraiseThe
raiseThe
%30
%3010020000
6000
60002000026000
![Page 18: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/18.jpg)
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 ?
![Page 19: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/19.jpg)
Solution
%30%10020000
6000
60001400020000
discountThe
![Page 20: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/20.jpg)
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?
![Page 21: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/21.jpg)
Solution
%30
%10020000
6000
6000
2000026000
ratemarkupThe
markupThe
![Page 22: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/22.jpg)
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?
![Page 23: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/23.jpg)
Solution
%30
%1002000
6000
argker
eschrobthepercenageThe
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III. Finding a number x if the p% of which is given
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7030
10021
100
3021
21100
30
:
?)%3021(
,21%30
:
x
x
Then
numberthebexLe
Solution
numberwhatofis
numberthefindisnumberaofIf
Example
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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
![Page 27: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/27.jpg)
Word Problems
After getting a raise of 30% Fatima’s salary became 26000. What was her salary before the raise?
Example (1)
![Page 28: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/28.jpg)
Solution
2000013
10260000
10
13260000
10
13
10
326000
100
3026000
;100
30
26000
,
'
x
xxx
xx
Thus
xraiseThe
Also
xraiseThe
Then
salaryoriginalsFatimabexLe
![Page 29: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/29.jpg)
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.
![Page 30: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/30.jpg)
Solution
200007
1014000
10
714000
10
7
10
314000
100
3014000
;100
30
14000
,
x
xxx
xx
Thus
xdiscountThe
Also
xdiscountThe
Then
watchtheofpriceoriginalthebexLe
![Page 31: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/31.jpg)
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)?
![Page 32: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/32.jpg)
Solution
2000013
1026000
10
1326000
10
13
10
326000
100
3026000
;100
30
26000
,
)(
x
xxx
xx
Thus
xmarkupThe
Also
xmarkupThe
Then
withitboughtshoptheamounttheitemtheofstcothebexLe
![Page 33: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/33.jpg)
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?
![Page 34: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/34.jpg)
Solution
14000600020000
2000030
1006000
100
306000
6000100
30
6000%30
,
recievesownertheamountThe
x
x
xof
Then
cartheofpricethebexLe
![Page 35: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/35.jpg)
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?
![Page 36: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/36.jpg)
Solution
200007
1014000
10
714000
10
7
10
714000
10
314000
10
3
100
30%30
,
x
xx
xx
recievedownertheamountThe
xxxofcommisionThe
Then
forcarthesolderokbrtheamountthebexLe
![Page 37: Percentages. Finding p% of a number x More examples.](https://reader035.fdocuments.in/reader035/viewer/2022062407/56649dd45503460f94acbab6/html5/thumbnails/37.jpg)
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