Finding Profit or Loss Percent

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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 = $600$


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