p o w e r e d b y : a p ttr i x e c l a s s e s (r a mo ), c …...or loss d) 5% 9) ould he le as a)...

Apttrix eClasses in association with Qmaths brings

Formula Free Maths Crash Coursefor SSC CGL Tier-1

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By Ravi Mohan Mishra (RaMo), CAT 99.99%iler

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Profit, Loss and Discount

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oApttrix eClasses in Association with Qmaths for SSC CGL Maths Tier-1 Free Crash Course


1) A vendor buys bananas at 9 for Rs 8 and sells at 8 for Rs 9. What will be the profit or loss (in %)?

A) 13.28% profit B) 26.56% loss C) 26.56% profit D) 13.28% loss

2) A villager buys a goat and a sheep together for Rs 14,250. He sold the sheep at a profit of 10% and the goat at a loss of 20%. If he sold both the animals at the same price, then what was the cost price of the cheaper animal?

A) 8250 B) 6600 C) 7500 D) 6000

3) At a village trade fair a man buys a horse and a camel together for Rs 51,250. He sold the horse at a profit of 25 % and the camel at a loss of 20 %. If he sold both the animals at the same price, then the cost price of the cheaper animal was Rs ____________.

A) 6600 B) 7500 C) 25000 D) 20000

4) A used two-wheeler dealer sells a scooter for Rs 46,000 and makes some loss. If he had sold it for Rs 58,000 his profit would have been double his loss. What was the cost price (in Rs) of the scooter?

A) 52000 B) 54000 C) 48000 D) 50000

5) A retailer marks up his goods by 150% and offers 40% discount. What will be the selling price (in Rs) if the cost price is Rs 800?

A) 1200 B) 1500 C) 1000 D) 2000

6) On a machine there is 10% trade discount on the marked price of Rs 2,50,000. But the machine is sold at Rs 2,16,000 after giving a cash discount. How much is this cash discount (in %)?

A) 5 B) 4 C) 6 D) 7

7) A trader marks up his goods by 120% and offers 30% discount. What will be the selling price (in Rs) if the cost price is Rs 750?

A) 1225 B) 1080 C) 1280 D) 1155

8) If the selling price is tripled and cost price doubled the profit would become 65%. What is the present profit (in %)?

A) 20 B) 15 C) 25 D) 10

9) Giving two successive discounts of 25% is equal to giving one discount of ________%.

A) 43.75 B) 56.25 C) 50 D) 45

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10) The price of a product after getting 20% discount is Rs 3,024 which includes 5% tax on selling price. What was the marked price (in Rs) of the product?

A) 3780 B) 2742 C) 3600 D) 2880

11) Oil equal to 20% of the weight of ground nut is extracted in a mill. The matter left after extraction is sold as cattle feed at the rate of Rs 12.5/kg. The groundnuts are bought at Rs 20/kg. The processing cost is Rs 5/kg. At what price (Rs per kg) should the oil be sold to earn 20% profit on total costs (Total cost = Cost of groundnuts and Processing costs)?

A) 250 B) 150 C) 200 D) 100

Answers keys :-

1 C 4 D 7 D 10 C 2 D 5 A 8 D 11 D 3 D 6 B 9 A

1) If there is a profit of 20% on the cost price of

an article, the percentage of profit calculated on its selling price will be

A) 24

B) 162

3

C) 81

3

D) 20

2) By selling 33 metres of cloth, a person gains the cost of 11 metres. Find his gain%.

A) 331

3%

B) 331

2%

C) 33%

D) 341

3%

3) If the cost price of 18 articles is equal to the

selling price of 16 articles, the gain or loss is A) 25% gain B) 25% loss

C) 121

2% loss

D) 121

2% gain

4) A shopkeeper buys two cameras at the same

price. He sells one camera at a profit of 18% and the other at a price 10% less than the selling price of the first. His total profit or loss percent is

A) 12.1% profit B) 12.1% loss C) 12.2% profit D) 11.1% loss

5) A man purchases some oranges at the rate of

3 for Rs. 40 and the same quantity at 5 for Rs. 60.If he sells all the oranges at the rate of 3 for Rs. 50, find his gain or loss percent (to the nearest integer).

A) 32% profit B) 31% loss C) 34% loss D) 31% profit




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6) A man purchased an article for Rs. 1500 and sold it at 25% above the cost price. If he has to pay Rs. 75 as tax on it, his net profit percentage will be :

A) 20% B) 25% C) 30% D) 15%

7) A dishonest shopkeeper professes to sell

goods at his cost price but uses a false weight of 950 gms, for each kilogram. His gain percent is :

A) 61

4%

B) 55

19%

C) 53

17%

D) 62

7%

8) A man buys a certain number of oranges at

20 for Rs. 60 and an equal number at 30 for Rs. 60. He mixes them and sells them at 25 for Rs. 60. What is gain or loss percent?

A) Gain of 4% B) Loss of 4% C) Neither gain nor loss D) Loss of 5%

9) A dealer sold a bicycle at a profit of 10%. Had

he bought the bicycle at 10% less price and sold it at a price Rs. 60 more, he would have gained 25%. The cost price of the bicycle was

A) Rs. 2400 B) Rs. 2600 C) Rs. 2000 D) Rs. 2200

10) A shopkeeper bought 15kg of rice at the rate

of 29 per kg and 25kg of rice at the rate of 20 per kg. He sold the mixture of both types of rice at the rate of 27 per kg. His profit in this transaction is

A) 125 B) 150 C) 140 D) 145

11) A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is

A) 99 : 125 B) 25 : 37 C) 50 : 61 D) 45 : 56

12) The cost price of an article is 800. After

allowing a discount of 10%, a gain of 12.5% was made. Then the marked price of the article is

A) 1,000 B) 1,100 C) 1,200 D) 1,300

13) A trader marked the price of a commodity so

as to include a profit of 25%, but allowed a discount of 16% on the marked price. His actual profit will be

A) 16% B) 25% C) 5% D) 9%

14) A merchant has 1000 kg sugar, part of which

sells at 8% profit and the rest at 18% profit. He gain 14% on the whole. The quantity sold at 8% profit is :

A) 560 kg B) 600 kg C) 640 kg D) 400 kg

15) A house and a shop were sold for 1 lakh each.

In this transaction, the house sale resulted into 20% loss whereas the shop sale into 20% profit. The entire transaction resulted in:

A) no loss no gain B) gain of 1/24 lakh C) loss of 1/12 lakh D) loss of 1/18 lakh

16) A trader bought two horses for 19,500. He

sold one at a loss of 20% and the other at a profit of 15%. If the selling price of











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each horse is the same, then their cost price are respectively.

A) 10,000 and 9,500 B) 11,500 and 8,000 C) 12,000 and 7,500 D) 10,500 and 9,000

17) A man sells his goods at 20% profit, had he

purchased it at 900 less and sold it at rupees 600 less then would have gained 10% more profit. Find initial cost price

A) 6000 B) 5700 C) 4000 D) None of these

18) The cost price of article A is Rs.200 more

than the cost price of article B. Article A was sold at 10% loss and article B was sold at 25% profit. If the overall profit earned after selling both the articles is 4%, what is the cost price of article B?

A) Rs.450 B) Rs.550 C) Rs.400 D) Rs.500

19) A dairyman pays Rs.6.4 per litre of milk. He

adds water and sells the mixture at Rs.8 per litre, thereby making 37.5% profit. The proportion of water to milk received by the customers is

A) 1 : 15 B) 1 : 10 C) 1 : 20 D) 1 : 21

20) A tradesman gives 4% discount on the

marked price and gives a article free for buying every 15 article and thus gains 35% . The marked price is above the cost price by :

A) 20% B) 39% C) 40% D) 50%

21) A trader sells an item to a retailer at 20%

discount, but charges 10% on the

discounted price, for delivery and packaging. The retailer sells it for INR 2046/- more, thereby earning a profit of 25%. At what price had the trader marked the item

A) 9400/- B) 9000/- C) 8000/- D) 9300/-

22) On selling a pen at 5% loss and a book at

15% gain, Karim gains Rs.7. If he sells the pen at 5% gain and the book at 10% gain, then he gains Rs.13. The actual price of the book is

A) Rs.100 B) Rs.80 C) Rs.10 D) Rs.400

23) A man purchased 40 fruits; Apples and

oranges for Rs.17. Had he purchased as many oranges as apples and as many apples as oranges, he would have paid Rs.15/-. Find the cost of one pair of an apple and an orange.

A) 70 paise B) 60 paise C) 80 paise D) 1 rupee

24) If an article is marked 40% above the cost

price. If discount of x% is given on the marked price of the article then final profit of 12% is obtained. Now if CP of a new article is 120 Rs. and x% profit is desired then what should be the selling price of that new article?

A) 140 B) 142 C) 144 D) 148

25) A shopkeeper gives 20% discount on the

marked price of a book. He provides 1 pair of books free with the sale of 9 pair of books. In the whole transaction, he gets profit of 26%. Find the percentage increase in marked price from the cost price.















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A) 35% B) 65% C) 75% D) 26%

26) A manufacture undertakes to supply 2000

pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However as it turned out, 50% of the components were rejected. What is the loss to the manufacture?

A) Rs 12,000 B) Rs 13,000 C) Rs 14,000 D) Rs 15,000

27) A shopkeeper marked the price of an article

12.5% more than its cost price. Mr. Sharma purchased the same article at a discount of 20% on the marked price of the article but also paid VAT of 12% on the discounted price. Mr. Sharma then gave the article to his cousin for Rs.5200 and thereby earned a profit of 30% on the original cost price of the product. At what mice did Mr. Sharma purchase the article from the shopkeeper?

A) Rs.4400 B) Rs.4500 C) Rs.4000 D) Rs.4032

28) Bakery bakes cake with the expectation that

it will earn a profit of 40% by selling each cake at marked price. But during the delivery to showroom 16% of the cakes were completely damaged and hence could not be sold. 24% of the cakes were slightly damaged and hence could be sold at 80% of the cost price. The remaining 60% of the cakes were sold at marked price. What is the percentage profit in the whole consignment?

A) 3.2 B) 2.4 C) 2.8 D) 3.6

29) A video Magazine distributor made 3500 copies of the June issue of the magazine at a cost of Rs. 3,50,000. He gave 500 cassettes free to some key video libraries. He also allowed a 25% discount on the market price of the cassettes and gave one extra cassette free with every 29 cassettes bought at a time. In this manner, he was able to sell all the 3500 cassettes that were produced. If the market price of a cassette was Rs. 150, then what is his gain or loss % for the March June issue of the video magazine?

A) 3.4% loss B) 15% gain C) 40% gain D) 6.8% loss

30) A pharmaceutical company manufactures

6000 strips of prescribed diabetic drugs for Rs. 8,00,000 every month. In July 2014, the company supplied 600 strips of free medicines to the doctors at various hospitals. Of the remaining medicines, it was able to sell 4/5th of the strips at 25 percent discount and the balance at the printed price of Rs. 250. Assuming vendor’s discount at the rate of a uniform 30 percent of the total revenue, the approximate percentage profit / loss of the pharmaceutical company in July 2014 is:

A) 5.5 percent (profit) B) 4 percent (loss) C) 5.5 percent (loss) D) None of the above

31) The MP and CP of an article are in the ratio

3:2. the discount percentage offered before selling it and the profit/loss percentage made on it are in the ratio 2:3.find the profit/loss percentage ?

A) 20% B) 10% C) 15% D) 25%

32) A fruit dealer fixes selling price of watermelon juice in such way that he end up earning the profit of 30% after paying tax,













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which is 13% of the cost price. A Shopkeeper buys watermelon juice from the dealer and mark up the price by 15% and then adds 25% water to the juice. He then gives a discount of 4% on juice to his customers and thereby sell juice at Rs.98.67 per litre. What is the cost price per litre of the watermelon juice for the fruit dealer?

A) Rs.47.50 B) Rs.50.00 C) Rs.52.20 D) Rs.87.50

33) A shopkeeper purchased 15 kg of variety A rice at "X" Rs/kg and 10 kg of variety B rice at "(X+5)" Rs/kg. the shopkeeper sold the whole quantity of variety A rice at 10% profit and that of variety B rice at 20% profit. the total selling price of variety A rice was Rs 30 more than that of variety B rice. Had the two varieties been mixed and sold at an overall profit of 20%. What would have the selling price in Rs/Kg?

A) 26.40

B) 23.20 C) 24.20 D) 25.00

34) A seller earns 44% profit on an item after

giving X % discount on the marked price. Had he offered 2X % discount he would have gained 28%. How much percent the marked price is more than the cost price?

A) 40% B) 50% C) 60% D) 55%

35) A shopkeeper bought 84 identical shirts

priced at Rs 240 each. He spent a total of Rs 3200 on transportation and packing. he put the label of marked price of Rs 420 on each shirt . He offered a discount of 15% on each shirt at the marked price. What is the total profit of the shopkeeper in the whole transaction (in Rs.)?

A) 6258 B) 6528 C) 6268 D) 6628

Answers keys :-

1 B 11 D 21 D 31 D 2 A 12 A 22 B 32 B 3 D 13 C 23 C 33 A 4 B 14 D 24 C 34 C 5 A 15 C 25 C 35 D 6 A 16 B 26 B 7 B 17 B 27 D 8 B 18 C 28 A 9 A 19 B 29 D

10 D 20 D 30 C










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