Profit Loss Problems Solutions 6o5d3

1. Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:

C.

4

4

A.

7

%

10%

B.

5

D.

12%

5 11

%

2. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

A.

15

B.

16

C.

18

D.

25

3. If selling price is doubled, the profit triples. Find the profit percent.

66

A.

105

C.

2 3 1 3

B.

100

D.

120

4. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?

A.

30%

B.

70%

C.

100%

D.

250%

5. A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

A.

3

B.

4

C.

5

D.

6

6. The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

A.

Rs. 2000

B.

Rs. 2200

C.

Rs. 2400

D.

Data inadequate

7. A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

A.

Rs. 18.20

B.

Rs. 70

C.

Rs. 72

D.

Rs. 88.25

8. A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

A.

Rs. 1090

B.

Rs. 1160

C.

Rs. 1190

D.

Rs. 1202

9. Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?

A.

3.5

B.

4.5

C.

5.6

D.

6.5

10. Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:

A.

30%

B.

C.

35%

D.

33

1 3

%

44%

11. On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

A.

Rs. 45

B.

Rs. 50

C.

Rs. 55

D.

Rs. 60

12. When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

A.

Rs. 21,000

B.

Rs. 22,500

C.

Rs. 25,300

D.

Rs. 25,800

13. 100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:

A.

14

C.

14

2 7 2 7

% gain

B.

15% gain

% loss

D.

15 % loss

14. A shopkeeper sells one transistor for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. His total gain or loss percent is:

A.

5

C.

6

15

% loss

17 2

B.

% gain

3

D.

5

15

% gain

17

None of these

15. A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

A.

No profit, no loss

B.

5%

C.

8%

D.

10%

E.

None of these

Q(1) A motorbike vendor recovers the cost of 25 bikes by selling 20 bikes. Find the % profit (a) 20 %

(b) 25 %

(c) 15 %

(d) 16 %

Q(2) A man buys a cellphone and calculator at a price of Rs 5400, If cost of cellphone is 15 % more than the calculator, find the cost of calculator. (a) Rs 2511

(b) Rs 2478

(c) Rs 2589

(d) Rs 1800

q(3) There are three successive discounts on a shirt 10 %, 8 % and 6 % . Find exact single discount to all these three discounts. (a) 23.11 %

(b) 22.17 %

(c) 21.45 %

(d) 20.20 %

Q(4) A printer manufacturer initially makes a profit of 12 % by selling a particular model of printer for Rs 6500. If the cost of manufacturing of that printer increases by 25 %, then price paid by customer is increased by 15 %. Find the % profit made by the manufacturer ? (a) 4.5 %

(b) 5.7 %

(c) 6.2 %

(d) 3.5 %

Q(5) Kartik calculates his profit percentage on the selling price whereas Shyam calculates his profit percentage on the cost price. They find that the difference of their profits is Rs 100 . If the selling price of both of them are the same and both of them get 25 % profit, find their selling price. (a) 2400

(b) 2000

(c) 2100

(d) 2150

Q(6) A fruit vendor fixed his selling price of mangoes at 40 % above the cost price. He sells half of the stock of mangoes at this price, now he offers a discount of 15 % on original selling price for one quater of stock and rest at a discount of 30 % on original selling price. Find the gain percentage altogether ? (a) 20.30 %

(b) 21.22 %

(c) 25.45 %

(d) 24.25 %

Q(7) A textile vendor sells shirts at Rs. 800 per shirt, however he forced to give two successive discounts of 10 % and 5 % respectively. However he charges sales tax on net sales price from the customer at 5 %. What price does customer has to pay to buy the shirt ? (a) 690.20

(b) 700.80

(c) 718.20

(d) 722.34

Q(8) By selling an article at 2/5 of the marked price, there is a loss of 25 % , The ratio of the marked price and the cost price of the article is : (a) 2 : 5

(b) 8 : 15

(c) 15 : 8

(d) 5 : 2

Q(9) Six mangoes were bought at Rs 5 and 5 mangoes sold for Rs 6. Then find out the gain percentage ? (a) 39 %

(b) 42 %

Profit and Loss Part 1:

(c) 44 %

(d) 45 %

Next- Profit And Loss-2

Rule : Profit = Selling Price - Cost Price Loss = Cost Price - Selling Price Gain or Loss Percentage = ( Loss or Gain / Cost Price )* 100

Ex. If a man purchases 11 balls for Rs 10 and sells 10 balls for Rs. 11 , How much profit or loss does he make ?

Solution : Cost price of one ball = 10 / 11 , Selling Price of one ball 11 / 10 So % profit or loss will be = [( 11 / 10 - 10 / 11 ) / 10 / 11 ] * 100 = 21 %

Rule : If a grocer sells its goods at cost price, but uses a false weigt instead of true weight. Then Gain percentage will be :

Ex. A dealer sell its rice at cost price, but uses its weight 900 gm for kg. Find hig gain percentage. Solution : % Gain = [ True Weight - False Weight ] / False Weight Gain % = [ ( 1000 - 900 ) / 900 ] * 100 = 1 * 100 / 9 = 11 . 11 %

Rule : If a shopkeeper sells his goods at x % loss on cost price but uses y gm instead of z gm, then his % profit or loss is

Rule : If a shopkeeper sells his goods at x % gain on cost price but uses y gm instead of z gm, then his % profit is

Ex. A seller uses 900 gm in place of one kg to sell his goods. Find his actual % profit or loss When he sells his articles at 5 % loss on cost price ?

Ex. A seller uses 900 gm in place of one kg to sell his goods. Find his actual % profit or loss When he sells his articles at 5 % profit on cost price ?

Profit and Loss Part-2

Next- Races And Games

Rule : If a businessman marks his goods at x % above his cost prie and allowed purchasers a discount of y % for cash, then % proft or % loss according to + ve or - ve sign is will be

Ex. A grocer allows a discount of 8 % . How much % above cost price he must mark his goods to make a profit of 12 % ? Solution :

Rule : Goods ing through successive hands :- If A sells a good to B at profit of x %, B sells it to C at a profit of y %. If P Rs. is paid by C then what was the cost price for A?

Ex. If A sells a good to B at profit of 15 %, B sells it to C at a profit of 20 %. If 300 Rs. is paid by C then what was the cost price for A?

Rule : If A takes a profit of x % by selling it to B and B takes a profit of y % by selling it to C then the resultant profit percentage is given by -

Rule : If A takes a profit of x % by selling it to B and B takes a loss of y % by selling it to C then the resultant profit percentage is given by -

Ex. If A sells a good to B at profit of 15 %, B sells it to C at a profit of 20 %. What is the resultant profit and loss ?

Ex. By selling a shirt at price 500 a trader get loss of 10 %. At what price he must sell the shirt in order to get 5 % of profit ? Solution : Use the formula of Goods ing through successive hands, here for loss x will be -10 %