## find the profit or loss percentage -: Q -: C.P=20000, S.P=2275​

Question

find the profit or loss percentage -: Q -: C.P=20000, S.P=2275​

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6 days 2021-09-13T14:04:42+00:00 2 Answers 0 views 0

## Answers ( )

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 $15, find the selling price of the books. Solution: We have, Cost of one copy = 15 C o s t o f 500 c o p i e s = (500 x 15) = 7500 I t i s g i v e n t h a t t h e b o o k s e l l e r s o l d 500 c o p i e s a t a p r o f i t o f 20 P r o f i t = 20 1500 Now, S.P. = C.P. + Profit = 7500 + 1500 =$ 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

L

o

s

s

L

o

s

s

=

5

5 = 5/100 x 5=

¼

S

.

P

.

=

C

.

P

.

L

o

s

s

=

5

¼

=

19/4

Thus, S.P. of one dozen oranges =

19

/

4

S

.

P

.

o

f

o

n

e

o

r

a

n

g

e

=

19/4 x 1/12 =

0.395

o

r

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

CP=20000

SP=2275

CP>SP

So there will be a loss

Loss=CP-SP

Loss=20000-2275

Loss=17725

Loss%=

Loss%=

Loss%=88.625

therefore loss%=88.625