Finding sp when cp and Profit or Loss Percent are given

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 sp when cp and profit or loss percent are given

In this method you can use proportion or formula.
If Profit % is given then selling price will be

CP (100 + P%) SP = ------------------            100

To find SP when loss % and CP are given

CP (100 - L%) SP = ------------------            100

Illustration 1 : Cost price = $450, Profit % = 5% find SP.

Solution :
As profit percent is given, we use the following formula.

CP (100 + P%) SP = ------------------            100         450 (100 + 5) SP = ------------------            100         450 x 105 SP = -------------            100         47250 SP = -----------            100

∴ Selling price = $472.50
________________________________________________________________________
Illustration 2 : A bookseller sold 500 copies of a book at a profit of 20%. If a book costs him $15, find the selling price of the books.

Solution:
We have, Cost of one copy = $15
∴ Cost of 500 copies = $(500 x 15) = $ 7500
It is given that the bookseller sold 500 copies at a profit of 20%
∴ Profit = 20% of C.P. = 2o/100 x 7500 = $1500
Now, S.P. = C.P. + Profit = 7500 + 1500 = $ 9000
__________________________________________________________________________
Illustration 3 Bobby bought oranges at $5 a dozen. He had to sell them at a loss of 5%. Find the selling price of one orange.

Solution:
We have, C.P. of one dozen oranges = $ 5
Loss % = 5%
∴ Loss = 5% of $ 5 = 5/100 x 5= $ ¼
∴ S.P. = C.P. – Loss = 5 – ¼ = $ 19/4
Thus, S.P. of one dozen oranges = $ 19/4
∴ S.P. of one orange = $ 19/4 x 1/12 = $ 0.395 or $40

---

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.