Profit & Loss

1. A Shopkeeper allows a discount of 20% and sells an article for 600/- toget a profit of 20%. What is his profit % if he doesn’t allow any discount?

2. A Shopkeeper sells 48 mangoes for 270/- and gets a loss of 10%. Howmany mangoes should he sell for 280/- to get a profit of 40%?

3. A Shopkeeper uses a false weight of 750gm for every kg. What is hisactual % profit if he professes to sell his goods at 20% above the costprice?

4. A Shopkeeper purchases lemons at the rate of 20lemons/5rs. How manylemons should he sell for 10/- to get a profit of 25% ?

5. A Shopkeeper sells an article and gets a profit of 20%. If he buys it at20% less and sells it for 120/- less. Is still gets a profit of 20% ? Find theoriginal cost price of article?

• Discount = 100• Marked Price = Selling Price + Discount

Basics:• MP – Marked Price or MRP or List Price• CP – Cost Price• SP – Selling Price• D – Discount• P - Profit • L – Loss

A Shop Keeper sells an article and gets a profit of 25%P = 25% of CPIf CP = 100 then P =25, SP = 125Therefore SP = 125% of CP

A Shop Keeper sells an article and gets a loss of 25%L = 25% of CPIf CP = 100 then L =25, SP = 75Therefore SP = 75% of CP

A Shop Keeper sells an article after giving a discount of 25%D = 25% of MPIf MP = 100 then D =25, SP = 75Therefore SP = 75% of MP

1. A Shopkeeper allows a discount of 20% and sells an article for600/- to get a profit of 20%. What is his profit % if he doesn’t allowany discount?

Ans :D = 20% of MP P = 20% of CP SP = 80% of MP SP = 120% of CP 80% of MP = 600 120% of CP = 600 100% of MP = 750 100% of CP = 500

Therefore MP = 750If D = 0, SP = MP = 750 => Profit = 750 – 500 = 250

%Profit = ଶହହ 100 = 50%

80 % = 600100% = 750

120 % = 600100 % = 500

%Profit = 50%

%Profit = 50%

Doing the same question in 10 sec :

D = 20% of MP P = 20% of CP

80% of MP = SP = 120% of CP 100% of MP = SP = 150% of CP ( Discount = 0 )

%Profit = 50%

80 = 120100 = 150

A Shopkeeper sells 48 mangoes for 270/- and gets a loss of 10%. Howmany mangoes should he sell for 280/- to get a profit of 40%?

Ans :First we will find out the SP for 48 mangoes to get 40% profitL = 10% of CP SP = 90% of CP = 270 100% of CP = CP = 300 140% of CP = 420

Therefore SP for 48 mangoes at 40% profit = 420For 420 - 48 mangoes280 - ?

90 % = 270100% = 300

420 = 48280 = 32

Number of mangoes = 32

2.

Note :% Profit or Loss is calculated in 2 ways1) In terms of money - % profit or loss is calculated on

cost price2) In terms of quantity - % profit or loss is calculated on

quantity sold.

A Shopkeeper uses a false weight of 750gm for every kg. What is hisactual % profit if he professes to sell his goods at 20% above the costprice?

1000 gms ----------- 200 gms

Profit = 60%

20%

He uses a false weight of 750 gms that makes profit of 250 gms.Total profit = 200gms + 250 gms = 450gms.Profit % = ସହହ 100 = 60%

Ans : Profit is based on the quantity.

3.

Selling price of 36 articles = Cost price of 45 articles. Find loss or profit % ?

Profit = 25%

Difference in articles = 9Given that, selling price of 36 articles is greater than cost price of 36 articles.

=> it makes a profit

Ans :Profit is based on the quantity sold.

Profit % = 100 = 25

4.

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Problems for practice are given in the description of the video.

Practice problemson Profit & Loss

1. A shopkeeper allows a discount D = 25 % and gets loss = 10%. Find his profit or loss%, if hedoesn’t allow any discount?

2. A shopkeeper allows a discount D = 30 % and gets P = 5%. Find his profit or loss%, if he allows adiscount of 10% ?

3. A Shopkeeper sells 45 oranges for 160/- and gets a loss of 20%. How many oranges should he sellfor 96/- to get a profit of 20%?

4. A Shopkeeper sells 24 apples for 600/- and gets a loss of 25%. How many apples should he sell for500/- to get a profit of 25%?

5. A Shopkeeper uses a false weight of 800gm for every kg. What is his actual % profit if he professesto sell his goods at 12% above the cost price?

6. A Shopkeeper uses a false weight of 900gm for every kg. What is his actual % profit if he professesto sell his goods at 17% above the cost price?

7. Selling price of 25 articles = Cost price of 20 articles. Find loss or profit % ?8. A Shopkeeper professes to sell his goods at cost price. What is false weight he has to use for every

kg if he gets a profit of 50%?

A shopkeeper allows a discount D = 25 % and gets loss = 10%.Find his profit or loss%, if he doesn’t allow any discount?

1.

Ans :

75 = 90100 = 120

D = 25% of MP L = 10% of CP

75% of MP = SP = 90% of CP 100% of MP = SP = 120% of CP ( Discount = 0 )

%Profit = 20%

%Profit = 20%

A shopkeeper allows a discount D = 30 % and gets P = 5%. Findhis profit or loss%, if he allows a discount of 10% ?2.

Ans :

70 = 9590 = 135

D = 30% of MP P = 5% of CP

70% of MP = SP = 105% of CP 90% of MP = SP = 135% of CP ( Discount = 0 )

%Profit = 35%

%Profit = 35%

A Shopkeeper sells 45 oranges for 160/- and gets a loss of 20%. Howmany oranges should he sell for 96/- to get a profit of 20%?

3.

Ans :First we will find out the SP for 45 mangoes to get 20% profit

L = 20% of CP SP = 80% of CP = 160 100% of CP = CP = 200 120% of CP = 240Therefore SP for 48 mangoes at 40% profit = 240

For 240 - 45 mangoes96 - ?

80 % = 160100% = 200

240 = 4596 = 18

Number of oranges = 18

A Shopkeeper sells 24 apples for 600/- and gets a loss of 25%. Howmany apples should he sell for 500/- to get a profit of 25%?

4.

Ans :First we will find out the SP for 24 apples to get 25% profit

L = 25% of CP SP = 75% of CP = 600 100% of CP = CP = 800 125% of CP = 1000Therefore SP for 24 apples at 25% profit = 1000

For 1000 - 24 apples500 - ?

75 % = 600100% = 800

1000 = 24500 = 12

Number of apples = 12

A Shopkeeper uses a false weight of 800gm for every kg. What is hisactual % profit if he professes to sell his goods at 12% above the costprice?

1000 gms ----------- 120 gms

Profit = 40%

12%

He uses a false weight of 800 gms that makes profit of 200 gms.Total profit = 120gms + 200 gms = 320gms.Profit % = ଷଶ଼ 100 = 40%

Ans : Profit is based on the quantity.

5.

A Shopkeeper uses a false weight of 900gm for every kg. What is hisactual % profit if he professes to sell his goods at 17% above the costprice?

Profit = 30%

170 + 100 = 270 .Profit % = ଶଽ 100 = 30%

Ans : Profit is based on the quantity.

6.

Selling price of 25 articles = Cost price of 20 articles. Find loss or profit % ?

Loss = 20%

Difference in articles = 5Given that, selling price of 25 articles is lesser than cost price of 20 articles.

=> it makes a loss

Ans :Profit is based on the quantity sold.

Loss % = 100 = 20%

4.

A Shopkeeper professes to sell his goods at cost price. What is falseweight he has to use for every kg if he gets a profit of 50%?

False weight he has to use for every kg = 666.7gms

Profit – 50% 3 - 2 1000 - 666.7 gms

Ans :Profit is based on the quantity.

3.

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