On finding profit or loss percent we use the following formula:-

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. = $ 4oo , 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

** 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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Profit % = P % = (Profit / C.P ) x 100 Loss % = L % = ( Loss /C.P )x 100 |
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Where, P% = Profit percent

P = Profit

C.P. = Cost Price

L % = Loss per cent

L = Loss

1) Find the gain or loss percent, if

C.P. = $ 4oo , S.P. = $ 500

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?

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?

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.

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

• 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