- Cost Price: The price, at which an article is purchased, is called its cost price or C.P.
- Selling Price: The price, at which an article is sold, is called its selling price or S.P.
- Profit or Gain: If S.P. is greater than C.P., the seller is said to have a profit or gain. S.P.>C.P.
- Loss: If S.P. is less than C.P., the seller is said to have incurred a loss. C.P.>S.P.
1.
Profit= Selling Price - Cost Price
Example: If the S.P. of a shirt is 500 Rs. and C.P. is 425 Rs. Find the Profit or Loss.
Solution: S.P.>C.P. (Profit)
Profit= Selling Price - Cost Price
Profit= 500-425
Profit=75 Rs.
Example: If the S.P. of a shirt is 500 Rs. and C.P. is 425 Rs. Find the Profit or Loss.
Solution: S.P.>C.P. (Profit)
Profit= Selling Price - Cost Price
Profit= 500-425
Profit=75 Rs.
2.
Loss= Cost Price - Selling Price
Example: If the shopkeeper purchased a dozen copy for 360 Rs. and sold 7 copies for 175 Rs. What is the total Profit/Loss of 8 copies?
Solution: C.P. of a copy= 360/12 = 30 Rs.
S.P. of a copy= 175/7 = 25 Rs.
C.P>S.P. (Loss)
Loss= Cost Price - Selling Price
Loss= 30-25
Loss = 5 Rs.
5×8 = 40 Rs.
Example: If the shopkeeper purchased a dozen copy for 360 Rs. and sold 7 copies for 175 Rs. What is the total Profit/Loss of 8 copies?
Solution: C.P. of a copy= 360/12 = 30 Rs.
S.P. of a copy= 175/7 = 25 Rs.
C.P>S.P. (Loss)
Loss= Cost Price - Selling Price
Loss= 30-25
Loss = 5 Rs.
5×8 = 40 Rs.
3.
![](https://3.bp.blogspot.com/-vM_GMEfFGrc/WS0h3zTZlCI/AAAAAAAAG7M/02O3hz_C_mQ6UfBnjVKlz9gZGf-h3E1_gCLcB/s1600-rw/1.png)
Example: If the S.P. of a shirt is 625 Rs and C.P. is 500 Rs. What is the Profit %?
Profit = 625-500 =125 Rs.
![](https://3.bp.blogspot.com/-dRHlBXKDjXg/WS0h3260DII/AAAAAAAAG7Q/5OwFwU3Kuso_Yrky_uEVBbMB8lhODICeQCEw/s1600-rw/2.PNG)
Profit % = 25%
Profit = 625-500 =125 Rs.
Profit % = 25%
4.
![](https://2.bp.blogspot.com/-CJw3Pkio2XM/WS0impx_P-I/AAAAAAAAG7g/nGF2rzK4LK8ozxIw4R-FbYe2nUme83O8wCLcB/s1600-rw/1.png)
Example: If a person purchased a cycle for 2000 Rs. and sold it at 15% loss. Find the Loss.
![](https://4.bp.blogspot.com/-L_Kmd0Lmwfg/WS0inqcmP6I/AAAAAAAAG7w/z9BxRuHKo1whoiCXeHuvnjzsah7wX7YTgCEw/s1600-rw/2.PNG)
Loss= 400 Rs.
Loss= 400 Rs.
5.
![](https://2.bp.blogspot.com/-ic8Va2OOQ1c/WS0inxJM6WI/AAAAAAAAG70/07r-71_bDgISdvnnqWP1B2g_Xe2snb2GACEw/s1600-rw/3.png)
Example: If Mohan purchased a table for 400 Rs. and sold it to Sohan at 10% profit. What is the S.P.?
![](https://1.bp.blogspot.com/-TIe6Btz03hY/WS0in97yloI/AAAAAAAAG74/eVLkXDBmLW4EzuKSA58-0R3mp7ux9zBVwCEw/s1600-rw/4.png)
S.P. = 440 Rs.
![](https://1.bp.blogspot.com/-TIe6Btz03hY/WS0in97yloI/AAAAAAAAG74/eVLkXDBmLW4EzuKSA58-0R3mp7ux9zBVwCEw/s1600-rw/4.png)
S.P. = 440 Rs.
6.
![](https://1.bp.blogspot.com/-NPMB89ylZGY/WS0j58AK6xI/AAAAAAAAG8U/sD3MTcXMTnEvLdJn6L3P4Ft34uw-Zte6ACLcB/s1600-rw/6.png)
Example: If Aabha purchased a cooler for 600 Rs. and sold it to Sohan at 15% loss. What is the S.P.?
![](https://4.bp.blogspot.com/-XhLwTjIVv_0/WS0ioSFeHDI/AAAAAAAAG78/GPUxjmXLtr8sv6pv5FCwVeXuFqaYIpMyQCEw/s1600-rw/6.png)
S.P. = 510 Rs.
![](https://4.bp.blogspot.com/-XhLwTjIVv_0/WS0ioSFeHDI/AAAAAAAAG78/GPUxjmXLtr8sv6pv5FCwVeXuFqaYIpMyQCEw/s1600-rw/6.png)
S.P. = 510 Rs.
7.
![](https://1.bp.blogspot.com/-QZksajblQRs/WS0ioq_hvbI/AAAAAAAAG8A/cajWBNoGymUzAwAMPpIvJHRbUSdVIgXYwCEw/s1600-rw/7.png)
Example: Navya sold a computer for 22000 Rs. at 10% profit. What is the C.P of that computer?
Solution:
Solution:
![](https://1.bp.blogspot.com/-C9q6qq7s9oM/WS0io4w0FPI/AAAAAAAAG8M/LcrWgHBvbr8Hvnv24tLgzem84oY1p1upQCEw/s1600-rw/9.png)
Example: Saumya sold his plot for 2,00,000 Rs. at 20% loss. Find the C.P.
![](https://1.bp.blogspot.com/-AZvagt6mIhA/WS0imkJttOI/AAAAAAAAG8M/W-05GAZtjjgUZn9QdbE_8xZSqu_7Nm_pQCEw/s1600-rw/10.png)
C.P. = 250000 Rs.
![](https://1.bp.blogspot.com/-AZvagt6mIhA/WS0imkJttOI/AAAAAAAAG8M/W-05GAZtjjgUZn9QdbE_8xZSqu_7Nm_pQCEw/s1600-rw/10.png)
C.P. = 250000 Rs.
9.
![](https://4.bp.blogspot.com/-eC5f0OXnMiQ/WS0imnd4UQI/AAAAAAAAG8M/69vRN0n8GV8GIkCrdd3tuakpOAzEu5SEwCEw/s1600-rw/11.png)
Example: M.R.P of an article is 20% more than the C.P. If the C.P. of that article is 200 Rs. and a person purchased it after discount of 36 Rs. Find the Discount %.
Solution:
Solution:
C.P. = 200, M.R.P. = 200×120%=240
=15%
10.
![](https://2.bp.blogspot.com/-T20kAeQbMWc/WS0inJEyiZI/AAAAAAAAG8M/4TVFLvpfKMAhrOVE-JMfU28MEfgoTd0OgCEw/s1600-rw/13.png)