Finding Profit or Loss Percent

We at ask-math believe that educational material should be free for everyone. Please use the content of this website for in-depth understanding of the concepts. Additionally, we have created and posted videos on our youtube.

We also offer One to One / Group Tutoring sessions / Homework help for Mathematics from Grade 4th to 12th for algebra, geometry, trigonometry, pre-calculus, and calculus for US, UK, Europe, South east Asia and UAE students.

Affiliations with Schools & Educational institutions are also welcome.

Please reach out to us on [email protected] / Whatsapp +919998367796 / Skype id: anitagovilkar.abhijit

We will be happy to post videos as per your requirements also. Do write to us.

On finding profit or loss percent we use the following formula:-

Profit % = P % = (Profit / C.P ) x 100

Loss % = L % = ( Loss /C.P )x 100

Where, P% = Profit percent

P = Profit

C.P. = Cost Price

L % = Loss per cent

L = Loss

Examples on finding profit or loss percent

1) Find the gain or loss percent, if

C.P. = $ 400$ , S.P. = $ 500$

Solution :
We have, C.P. = $ 400$and S.P. = $ 500$.

Since, S.P. > C.P.

Therefore, there is gain or profit.

Profit = S.P. – C.P.

= $500$ - $400$ = $100$

∴ Profit per cent = Profit / C.P. x 100

= 100 / 400 x 100

= 25%


2) C.P. = $ 200$ , S.P. = $ 150 $

Since, C.P. = $ 200$ and S.P. = $ 150$.

As c.p > s.p so there is loss.

Loss = C.P. – S.P.

= $ 200 $- $ 150$

= $ 50 $

∴ Loss per cent = Loss / C.P. x 100

= 50 / 200 x 100

= 25%

3) A box of Alphonso mangoes was purchased by a fruit – seller for $300$. However, he had to sell them for $250$ because they began they began to overripe. What was the loss percentage?

Solution:
We have, C.P. = $ 300$ and S.P. = $ 250$

Since, C.P. > S.P. there is loss

∴ Loss = C.P. – S.P. = $ 300$ – $250 $

= $ 50 $

Now, Loss % = Loss / C.P. x 100

= 50 / 300 x 100 = 16.67 %

Hence, 16.67% loss

4) Harry bought a computer for $1200$ and spent $200$ on its accessories. He sold it for $ 1680. Find his profit or loss. What was his profit or loss per cent?

Solution :
Cost of the computer after accessories = $( 1200 + 200)$ = $ 1400$

S.P = $ 1680$

S.P > C.P so there is a profit.

Profit = P = S.P – C.P

P = 1680 -1400

P = $ 280$

Profit % = ( P / C.P ) x 100

P % = ( 280 / 1400 ) x 100

P % = 20 %

5) By selling a coat for $ 630$, a shopkeeper earns a profit of 5%. Find the cost price of coat.

Solution :
Here, S.P = $ 630$ , P% = 5 % and C.P = ?

Let C.P = 100

S.P = 100 + 5 ( As there is P%, so add P% + 100 )

S.P = $ 630 $( given)

100       105
---- = ------ ( cross multiply)
C.P        630
105 x C.P = 630 x 100

105 x C.P = 63,000

C.P = 63,000/ 105

C.P = $600$


Profit and Loss

Finding profit or loss percent
Finding cp when sp and Profit or Loss percent are given
Finding sp when cp and Profit or Loss percent are given
Solved examples on Profit and Loss

Home Page

Russia-Ukraine crisis update - 3rd Mar 2022

The UN General assembly voted at an emergency session to demand an immediate halt to Moscow's attack on Ukraine and withdrawal of Russian troops.