finding profit or loss percent

# 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 100Loss % = 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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Solved examples on Profit and Loss