Percentage means per cent or per 100
A percentage is a number or ratio which is expressed as a fraction of 100.
Ex. 30%=30/100
1.
If we have to convert a fraction into % than that number is multiply by 100.
Example
Change 2/5 into percentage.
=2/5×100
=40%
=2/5×100
=40%
2.
If we have to convert % into fraction than that number is multipy by 100
Example
Example
Chnage 25% into fraction.
=25/100
=1/4
=25/100
=1/4
3.
A is
% of 'B'.
![](https://1.bp.blogspot.com/-AajuZ327gUE/WSapRyESfGI/AAAAAAAAGuw/Piwlw061o400KlIaNpXx6aNFVfJiluJVACLcB/s1600-rw/1.png)
Example
If 'X' is a% more than 'Y', then 'Y' is
% less than 'X'.
Example
![](https://1.bp.blogspot.com/-TSkvGJxTdeI/WSapqedElJI/AAAAAAAAGu4/oQDSqP3eJLQYOsbhJzuAokYVOVsfWvvlACLcB/s1600-rw/1.png)
Example
If the salary of Ram is 25% more than shyam's salary. Find how much % Shyam's salary is less than Ram's salary?
![](https://3.bp.blogspot.com/-s5OFwpl8P_M/WSapqv-pBWI/AAAAAAAAGu8/eu3OwVk3oEU-ChiLpIm5mBem9rh5mVCpgCEw/s1600-rw/2.png)
![](https://3.bp.blogspot.com/-90vxSXzA_HU/WSapqglLpPI/AAAAAAAAGvA/jlSDGWY9LeoKHHwms0M4QsNuBnlZjD5XACEw/s1600-rw/3.png)
=20%
![](https://3.bp.blogspot.com/-s5OFwpl8P_M/WSapqv-pBWI/AAAAAAAAGu8/eu3OwVk3oEU-ChiLpIm5mBem9rh5mVCpgCEw/s1600-rw/2.png)
![](https://3.bp.blogspot.com/-90vxSXzA_HU/WSapqglLpPI/AAAAAAAAGvA/jlSDGWY9LeoKHHwms0M4QsNuBnlZjD5XACEw/s1600-rw/3.png)
=20%
5.
If 'X' is a% less than 'Y', then 'Y' is
% more than 'X'.
Example
![](https://3.bp.blogspot.com/-6yD3LtOMGx0/WSaqCMzNhCI/AAAAAAAAGvE/E3Wi_SG5zVgtNmYqHgq_NHHgJKMIajG2QCLcB/s1600-rw/1.png)
Example
If Mohan's height is 10% less than Sohan's height. Find how much % Sohan's salary is more than Mohan's salary?
![](https://4.bp.blogspot.com/-R1bPrUKy-HQ/WSaqCYJjlEI/AAAAAAAAGvI/V4m9zhd6kzcVLkT2smVG7XpYKKWQxXIngCEw/s1600-rw/2.png)
![](https://4.bp.blogspot.com/-ICSsfNina0Y/WSaqCNK8Q7I/AAAAAAAAGvM/YTYuZcGor5EPxVBaJumGZ2aicOIDwziwwCEw/s1600-rw/3.png)
11.11%
![](https://4.bp.blogspot.com/-R1bPrUKy-HQ/WSaqCYJjlEI/AAAAAAAAGvI/V4m9zhd6kzcVLkT2smVG7XpYKKWQxXIngCEw/s1600-rw/2.png)
![](https://4.bp.blogspot.com/-ICSsfNina0Y/WSaqCNK8Q7I/AAAAAAAAGvM/YTYuZcGor5EPxVBaJumGZ2aicOIDwziwwCEw/s1600-rw/3.png)
11.11%
6.
If the population is 'P' and it is incearsed by 'R%' every year then the population of village after 'n' years is
![](https://4.bp.blogspot.com/-OgmsYKVpv4g/WSaqY0rCJbI/AAAAAAAAGvQ/qrrJOvG_4voFxvjVNXm60WvJ27mFql_VQCLcB/s1600-rw/1.png)
Example
![](https://4.bp.blogspot.com/-OgmsYKVpv4g/WSaqY0rCJbI/AAAAAAAAGvQ/qrrJOvG_4voFxvjVNXm60WvJ27mFql_VQCLcB/s1600-rw/1.png)
Example
If the poputation of a city is 1.2 Lakh and it is increased by 10% every year. What will be the total population of that village after 2 years?
![](https://4.bp.blogspot.com/-GuLrvtMZwWI/WSaqY48a4bI/AAAAAAAAGvY/yfIw1OGVTDIdoxO9NrBKd77Uk1bGfkxBACEw/s1600-rw/2.png)
![](https://3.bp.blogspot.com/-veGz50wk-x0/WSaqY-PblvI/AAAAAAAAGvU/zdqWw2Xfu0I1SgrTgnlN3729g2QECu-4wCEw/s1600-rw/3.png)
=145200
![](https://4.bp.blogspot.com/-GuLrvtMZwWI/WSaqY48a4bI/AAAAAAAAGvY/yfIw1OGVTDIdoxO9NrBKd77Uk1bGfkxBACEw/s1600-rw/2.png)
![](https://3.bp.blogspot.com/-veGz50wk-x0/WSaqY-PblvI/AAAAAAAAGvU/zdqWw2Xfu0I1SgrTgnlN3729g2QECu-4wCEw/s1600-rw/3.png)
=145200
7.
If the population is 'P' and it is incearsed by 'R%' every year then the population before 'n' years is
![](https://2.bp.blogspot.com/-8PXOArGKfrY/WSaquQjV75I/AAAAAAAAGvc/4AhdIN_tz34pLaBIZIqLQ_da-aXTXjEOACLcB/s1600-rw/1.png)
Example
![](https://2.bp.blogspot.com/-8PXOArGKfrY/WSaquQjV75I/AAAAAAAAGvc/4AhdIN_tz34pLaBIZIqLQ_da-aXTXjEOACLcB/s1600-rw/1.png)
Example
If the poputation of a city is 119025 and it is increased by 15% every year. What will be the total population of that village before 2 years?
![](https://1.bp.blogspot.com/-TXqmVFEUciY/WSaquVc_2KI/AAAAAAAAGvk/ZuY4BH81sGQdNX2QxRS-Jh97yMhXA4FJgCEw/s1600-rw/2.png)
![](https://2.bp.blogspot.com/-WrQw-lsBxus/WSaquK-BMeI/AAAAAAAAGvg/g575JpRlBpg8buS6QhHVWUnVVNND4CzTgCEw/s1600-rw/3.png)
=90000
![](https://1.bp.blogspot.com/-TXqmVFEUciY/WSaquVc_2KI/AAAAAAAAGvk/ZuY4BH81sGQdNX2QxRS-Jh97yMhXA4FJgCEw/s1600-rw/2.png)
![](https://2.bp.blogspot.com/-WrQw-lsBxus/WSaquK-BMeI/AAAAAAAAGvg/g575JpRlBpg8buS6QhHVWUnVVNND4CzTgCEw/s1600-rw/3.png)
=90000
8.
If the price of a machine is x rs. and it is depriciated by 'R%' every year then the price of machine after 'n' years is
![](https://1.bp.blogspot.com/-yU6f0uA_oXI/WSarIEw66BI/AAAAAAAAGvs/whMDVnQsczIPO0id-Q9kiNgavBk6MvtCACLcB/s1600-rw/1.png)
Example
![](https://1.bp.blogspot.com/-yU6f0uA_oXI/WSarIEw66BI/AAAAAAAAGvs/whMDVnQsczIPO0id-Q9kiNgavBk6MvtCACLcB/s1600-rw/1.png)
Example
If the price of a T.v. is 20000 and it is depriciated by 20% every year. What will be the the price of that T.v. after 2 years?
![](https://1.bp.blogspot.com/-DQ_-9r5ZJeM/WSarIPnJVfI/AAAAAAAAGvo/XYC-9cuy5asybMzrs3738s3NYbT1baKlACEw/s1600-rw/2.png)
![](https://3.bp.blogspot.com/-lSo84RXWqZU/WSarIAEZ9ZI/AAAAAAAAGvw/mP32LCWG6iIVZfhPR0l0rdVSEuwcRVsoACEw/s1600-rw/3.png)
=12800
![](https://1.bp.blogspot.com/-DQ_-9r5ZJeM/WSarIPnJVfI/AAAAAAAAGvo/XYC-9cuy5asybMzrs3738s3NYbT1baKlACEw/s1600-rw/2.png)
![](https://3.bp.blogspot.com/-lSo84RXWqZU/WSarIAEZ9ZI/AAAAAAAAGvw/mP32LCWG6iIVZfhPR0l0rdVSEuwcRVsoACEw/s1600-rw/3.png)
=12800
9.
If the price of a machine is x rs. and it is depriciated by 'R%' every year then the price of machine before 'n' years is
![](https://3.bp.blogspot.com/-OIFoGC-WZ84/WSarii6adrI/AAAAAAAAGv0/suBPDk-_VhcakNO15RybZzs1ecEhnebqQCLcB/s1600-rw/1.png)
![](https://3.bp.blogspot.com/-OIFoGC-WZ84/WSarii6adrI/AAAAAAAAGv0/suBPDk-_VhcakNO15RybZzs1ecEhnebqQCLcB/s1600-rw/1.png)
Example
If the price of a Computer is 8100 rs. and it is depriciated by 10% every year. What was the price of that T.v. before 2 years?
![](https://3.bp.blogspot.com/-hQRzTGd2Mow/WSarijszxJI/AAAAAAAAGv4/zflXbTDOmP4lxUbGwlyyRl7N_2KMqgO4ACEw/s1600-rw/2.png)
![](https://1.bp.blogspot.com/-j7Ed0eAxsE4/WSarinxapTI/AAAAAAAAGv8/_m76x2HDOe0wBDJqRbP73yTSXyxNeiRLwCEw/s1600-rw/3.png)
=10000
![](https://3.bp.blogspot.com/-hQRzTGd2Mow/WSarijszxJI/AAAAAAAAGv4/zflXbTDOmP4lxUbGwlyyRl7N_2KMqgO4ACEw/s1600-rw/2.png)
![](https://1.bp.blogspot.com/-j7Ed0eAxsE4/WSarinxapTI/AAAAAAAAGv8/_m76x2HDOe0wBDJqRbP73yTSXyxNeiRLwCEw/s1600-rw/3.png)
=10000
10.
If the price of any foodstuff is increased by 'a%' then the comsumption of it will be decreased by
% so that the expenses of this item is remain same.
Example
![](https://4.bp.blogspot.com/-PSvUt7LRXX4/WSar5sEWUCI/AAAAAAAAGwA/KOM7YG78gFMK8PL5D-4kGRnWStThtazDACLcB/s1600-rw/1.png)
Example