Finding sp when cp and Profit or Loss Percent are given

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
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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
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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

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