# 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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