Aimers Batch For CAT 22
Profit & Loss-1
• 1. Find the cost price of article which is sold at Rs. 70150 at a loss is 23.33%
o A.91,500
o B.90,000
o C.90,500
o D.94,650
• 2. When an article is sold for Rs. 355, there is a loss of 29%. To gain 21%, it
should be sold for Rs.
o A.605
o B.608
o C.609
o D.603
• 3. If a saree is sold for Rs 3060, the seller will face 15% loss, at what price
should he sell the saree to gain a 20% profit?
o A.4650
o B.3600
o C.3400
o D.4329
• 4. A shopkeeper sells his goods at 13.33% loss on selling price. Find actual
Loss Percentage?
o A.11.76 %
o B.10.92 %
o C.9.05 %
o D.None
• 5. On selling an article for rupees 7200, a person loses 36.66% of its selling
price.At what price should be sell it to gain 25% on its cost price?
o A.13120
o B.11890
o C.10250
o D.12300
• 6. Dinesh makes a profit of Rs. 120 if he sells certain number of pencils at
the price of rupees 2.5 per pencil and incurs a loss of rupees 62, if he sells
the same number of pencils for rupees 1.85 per pencil. How many pencils
does Dinesh have?
o A.280
o B.290
o C.250
o D.235
• 7. A person sold an article at a loss of 8%. Had he sold it at a gain of 10.5%,
he would have received rupees 92.50 more. To gain 12%, he should have
sold it for:
o A.560
o B.750
o C.590
o D.670
Profit & Loss-2
• 8. An article was sold at a loss of 13.5%. If it was sold for Rs. 1104 more,
then there would have been a profit of 9.5%. The cost price of the article
was:
o A.
o B.
o C.
o D.
• 9. A person sold an article at a loss of 16%. Had he sold it for Rs. 660 more,
he would have gained 8%. If the article is sold at Rs. 3080, then how much
profit percentage is gained?
o A.10 %
o B.15 %
o C.20 %
o D.12 %
• 10. A man bought an article and sold it at a gain of 10%. If he had bought the
article at 20% less and sold it for Rs. 1000 more, he would have made a
profit of 40%. The earlier selling price of the article (in Rs) is:
o A.55,000
o B.60,000
o C.50,000
o D.40,000
• 11. An article is sold at a certain price. If it is sold at 80% of this price, then
there will be a loss of 10% what is the percentage profit when the article is
sold at the original selling price?
o A.12.5 %
o B.15 %
o C.12 %
o D.15.5 %
• 12. An article is sold at a certain price. If it is sold at 33 1/3% of this price,
there is a loss of 33 1/3%. What is the percentage profit when it is sold at
60% of the original selling price?
o A.17 1/3 %
o B.33 1/3 %
o C.20 %
o D.30 %
• 13. When an article is sold at 7/8th of its selling price, there is a loss of 37%.
What will be the profit percentage, when the same article is sold at 19/12th
of its selling price?
o A.12.5 %
o B.14 %
o C.15 %
o D.16.66 %
• 14. A person sold an article at Rs.5798, loss incurred will be equal to the
profit incurred, when article is sold at Rs.8020, at what price it should sell
to get 14 2/7% profit?
o A.7896
o B.6829
o C.3639
o D.3739
• 15. A used car dealer sells a car for Rs.7.6 lakhs and makes some loss. If he
had sold it for Rs.9.2 lakhs his profit would been thrice his loss. What was
the cost price of the car (in Rs lakhs)?
o A.8.5 Lakhs
o B.8.75 Lakhs
o C.8.25 Lakhs
o D.8 Lakhs
• 16. Amit sold an article for Rs.7000 and incurred a loss. Had he sold it for
Rs.8750, his gain would have been three - fourth of the amount of loss that
he incurred.At what price should he sell the article, to get 10% profit?
o A.7800
o B.8400
o C.8800
o D.8000
• 17. A student sold his phone at Rs.5312, loss incurred will be 42 6/7% to
the profit incurred when article is sold at Rs.5902. At what price he should
sell his phone to get double profit which he losing in starting?
o A.5732
o B.5843
o C.5643
o D.5863
• 18. A trader had 2000kgs of rice. He sold a part of it at 10% profit and the
rest at 16% profit, so that he made a total profit of 14.2%. How much rice
(in kg ) did he sell at 10% profit?
o A.1400
o B.600
o C.800
o D.100”
• 19. The total cost price of two articles is Rs.2000. One of them is sold at a
profit of 12% and the other at a loss of 12%. The overall gain in the
transaction is 1.2%.The cost price of the article for which there was a profit
was:
o A.1050
o B.1100
o C.1120
o D.1080
• 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, he gains Rs. 13. What is
the cost price of the book in Rupees?
o A.80
o B.85
o C.100
o D.95
• 20. Reshma buys two articles A and B for Rs.1734. She sells A at a loss of
16% and sells B at a gain of 20%. The selling price of both the articles is the
same. If A is sold for Rs.1147.50, then the gain percent on A is:
o A.12 %
o B.10 %
o C.12.5 %
o D.10.5 %
• 21. A merchant buys two items for Rs.7500. He sells one item at a profit of
16% and the other item at 14% loss. In the deal he makes neither any profit
nor any loss.What is the difference between the selling price of both the
items? (in Rs.)
o A.625
o B.610
o C.620
o D.630
• 22. First trader calculates profit % on CP while second trader calculates his
profit % on SP. Both sells their articles at same price Rs.3760 and both
claims to gain a profit of 17.5%. Find the difference of their actual profit?
o A.96
o B.90
o C.98
o D.102
Profit & Loss-3 (Discount Topics)
• 23. A distributor gives a discount 12% on the marked price. If the selling
price is Rs.9240, then what will be the discount on it?
o A.1260
o B.1109
o C.1192
o D.1140
• 24. By selling an article at 80% of its marked price, a merchant makes a loss
of 12%. What is the percentage of profit that the merchant will make, if the
articles is sold at 95% of its marked price?
o A.5 %
o B.5.5 %
o C.5.7 %
o D.4.5 %
• 25. When an article is sold at 37% discount a shopkeeper suffers 9% loss.
But when it is sold at 28% discount, he gets Rs.7072 more than what he got
on previous deal. At what price should he sell toget no profit no loss?
o A.54,400
o B.52.400
o C.48,600
o D.58,640
• 26. Seema bought a mobile and got a discount of 18.5%. Had there been a
24% discount, she could have saved an additional Rs.1650. How much did
he pay for mobile?
o A.22,800
o B.30,000
o C.25,000
o D.24,450
• 27. A shopkeeper buys an article for Rs.22500 and marks ot for sale at a
price that gives him 80% profit on his cost. He, however, gives a 15%
discount on the MP to his customer calculate the actual % profit made by
the shopkeeper?
o A.
o B.
o C.
o D.
• 28. The cost price of an article is Rs.x. It is marked up by 200%. It is sold at
Rs.540 after giving 25% discount. What is the value of x (in Rs)?
o A.360
o B.250
o C.300
o D.240
• 29. The price of a product after getting 20% discount is Rs.3024 which
includes 5% tax on selling price. What was the marked price (in Rs) of the
product?
o A.3780
o B.2742
o C.3600
o D.2880
Profit & Loss-4
• 30. The SP of an article is Rs.882. If the discount on it is 16%. What would
be the SP of the article (in Rs) if the discount on it is 28%?
o A.756
o B.720
o C.792
o D.806.4
• 31. The marked price of am article is Rs.5000 .but due to festive offer a
certain percent of discount is declared. Mr. X availed this opportunity and
bought the article at reduced price. He then sold it at Rs.5000 and thereby
made a profit of 11 1/9%. The percentage of discount allowed was?
o A.10 %
o B.3 1/3 %
o C.7 1/2 %
o D.11 1/9 %
• 32. If a discount of 10% is allowed on the marked price of an article, a
shopkeeper gets a profit of 25%. If he offers a discount of 25% on the
marked price if the same article, then hid percentage profit/loss will be:
o A.4 % Loss
o B.4 % Profit
o C.4 1/6 % Profit
o D.4 1/6 % Profit
• 33. Sujata marks an article 36% above the cost price and allows a 40%
discount on the marked price. The loss percentage is:
o A.18.4 %
o B.16 %
o C.19 %
o D.14 %
• 34. Despite giving a discount of 11.11% on the mark-up price, profit
obtained is equal to 6.66%. What is the % markup over CP?
o A.14.28 %
o B.28.56 %
o C.20 %
o D.25 %
• 35. Three successive discounts on the marked price of an article turns out
to be equivalent to a single discount of 19%. If the rates of first and second
discount are 10% and 4% respectively, what is the rate of 3rd discount
o A.7.50 %
o B.5.25 %
o C.6.25 %
o D.6.00 %
Profit & Loss-5
• What is the difference between a single discount of 50% and a single
discount of 42% and 8%, being given on shopping of rupees 3000
• 36. Marked price of a refrigerator is Rs.10800 two successive discounts each
x% are given on this refrigerator. Due to further bargaining of customer
discount of Rs.1808 are also allowed. And shopkeeper charges 12.5% G.S.T
on the discounted price and sold it for Rs.4500. Find value of X?
o A.27.5 %
o B.28.33 %
o C.25 %
o D.26.66 %
• 37. A shopkeeper gives 3 articles free on the purchase of 13 articles and he
also allow an additional discount of 14.28% to customer and still gains
8.33% profit.Find the ratio of MP to CP.
o A.14:9
o B.9:5
o C.21:16
o D.7:16
• 38. A shopkeeper gives 20% discount on the Marked price of a book. He
provides one pair of books free with the sell of 9 pairs of books. In the whole
transaction if he gets the profit of 26%. By how much percent is the marked
price above the cost price?
o A.
o B.
o C.
o D.
Profit & Loss-6
• Rahim marks up all jeans in his shop 20% higher. He gives 25% discount on
2/5th of the total jeans and 12% discount on 1/4th of the total jeans. if
Rahim gets an overall profit of 2.3%, then what percentage of discount
should be given by Rahim to customers on the remaining jeans?
• 39. A person marks his 40 items at 20% above of the cost price. He sells 10
items at a 10% discount and 20 items at a 15% discount on the Marked
price. what is the maximum discount (rounded off) he can offer on the
remaining items if he still gets some profit?
o A.25 %
o B.26 %
o C.28 %
o D.21 %
• 40. Radha marks her goods 25% above the cost price. She sells 35% of goods
at the marked price, 40% at 15% discount and the remaining at 20%
discount. What is her overall percentage gain?
o A.10 %
o B.11.25 %
o C.12.75 %
o D.11.75 %
• 41. A dealer marks articles at a price that gives him a profit of 30%. 6% of
the consignment of goods was lost in a fire in his premises, 24% was soiled
and had to be sold at half the cost price. If the reminder was sold at marked
price, what % profit or loss didi the dealer make on that consignment?
o A.2 %
o B.2.5 %
o C.3 %
o D.6.6 %
• 42. Shyam went shopping to buy a mobile, the shopkeeper asked him to pay
23.5% tax if he wants bill. If not, you can get 9% discount on the actual price
of the mobile. Then Shyam decided not to take the bill and paid Rs. 5460. By
this, how much money could Shyam save on purchasing mobile?
o A.1950
o B.2447.5
o C.1410
o D.1850
• 43. A man purchased 5 cows and 13 buffaloes for Rs.51000. He sold cows at
15% profit and buffaloes at 10% loss. In this way he earned a profit of
Rs.1150. What is the CP of 2 cows and 3 buffaloes?
o A.13,000
o B.15,000
o C.16,000
o D.17,000
Profit & Loss-7
• 44. A person bought two articles for Rs.2700 and sold the lst at 17% profit
and the 2nd at 13% profit. If he sold the lst at 13% profit and 2nd at 17%
profit, he would get Rs.68 less. Find the difference between their CP?
o A.1700
o B.1800
o C.1900
o D.2000
• 45. 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, he gains Rs.13. What
is the cost price of the book in Rupees?
o A.85
o B.80
o C.95
o D.100
• 46. Two articles are sold fir Rs.10384 each, the seller gains 18% on one and
on the other, he loss 12%. What is his overall gain or loss?
o A.178 gain
o B.178 loss
o C.168 loss
o D.168 gain
• 47. Three articles were sold at 18.18% loss, 20% profit and 14.28% profit
respectively. Selling price is same for all the three articles and he made an
overall profit of Rs.650, then find the total CP of all three articles together?
o A.27,635
o B.27,430
o C.21,100
o D.31,650
• 48. A person bought some articles at 23 for Rs.20 and sold them at the rate
of 20 for Rs.23. Find his profit/loss.?
o A.32.5 % Profit
o B.31.25 % Loss
o C.33.33 % Profit
o D.32.25 % Profit
• 49. A man sold an LED TV at 8% profit and a fridge at 15% profit. If he sold
the LED TV at 15% profit and the fridge at 8% profit, he gain Rs 350 less.
Find the CP of LED TV and fridge, if he purchase both at Rs.30,000?
o A. Rs 12000 and Rs 18000
o B. Rs 12500 and Rs 17500
o C. Rs 14000 and Rs 16000
o D. Rs 10500 and Rs 19500
• 50. A person bought some article at rate of 6 for Rs 20 and bought double
number of articles at the rate of 8 for Rs 26. And sold all the stock at the rate
of 24 for Rs118. Find the profit or loss%?
o A. 50% profit
o B. 60% loss
o C. 50% loss
o D. 60% profit
Profit & Loss-8(One Shot -CAT ALL PYQS)
• 51. If Fatima sells 60 identical toys at a 40% discount on the printed price,
then she makes 20% profit. Ten of these toys are destroyed in fire. While
selling the rest, how much discount should be given on the printed price so
that she can make the same amount of profit?
o A.30 %
o B.25 %
o C.24 %
o D.28 %
• 52. In a market, the price of medium quality mangoes is half that of good
mangoes. A shopkeeper buys 80 kg good mangoes and 40 kg medium
quality mangoes from the market and then sells all these at a common price
which is 10% less than the price at which he bought the good ones. His
overall profit is:
o A. 6%
o B. 8%
o C. 10%
o D. 12%
• 53. If a seller gives a discount of 15% on retail price, she still makes a profit
of 2%.Which of the following ensures that she makes a profit of 20%?
o A. Give a discount of 5% on retail price
o B. Give a discount of 2% on retail price
o C. Increase the retail price by 2%
o D. Sell at retail price
• 54. Mayank buys some candies for Rs 15 a dozen and an equal number of
different candies for Rs 12 a dozen. He sells all for Rs 16.50 a dozen and
makes a profit of Rs 150. How many dozens of candies did he buy
altogether?
o A.50
o B.30
o C.25
o D.45
• 55. The manufacturer of a table sells it to a wholesale dealer at a profit of
10%. The wholesale dealer sells the table to a retailer at a profit of 30%.
Finally, the retailer sells it to a customer at a profit of 50%. If the customer
pays Rs. 4290 for the table, then its manufacturing cost (in Rs) is
o A. 1500
o B. 2000
o C. 2500
o D. 3000
• 56. 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, he gains Rs. 13. What
is the cost price of the book in Rupees?
o A.80
o B.85
o C.100
o D.95
• 57. A shopkeeper sells two tables, each procured at cost price p, to Amal and
Asim at a profit of 20% and at a loss of 20%, respectively. Amal sells his
table to Bimal at a profit of 30%, while Asim sells his table to Barun at a loss
of 30%. If the amounts paid by Bimal and Barun are x and y, respectively,
then (x-y) / p equals?
o A.1
o B.1.2
o C.0.7
o D.0.57
• 58. Mukesh purchased 10 bicycles in 2017, all at the same price. He sold six
of these at a profit of 25% and the remaining four at a loss of 25%. If he
made a total profit of Rs. 2000, then his purchase price of a bicycle, in
Rupees, was?
o A.2000
o B.6000
o C.8000
o D.4000
• 59. A person spent Rs 50000 to purchase a desktop computer and a laptop
computer. He sold the desktop at 20% profit and the laptop at 10% loss. If
overall he made a 2% profit then the purchase price, in rupees, of the
desktop is
o A.20,000
o B.25,000
o C.15,000
o D.18,000
• 60. Anil buys 12 toys and labels each with the same selling price. He sells 8
toys initially at 20% discount on the labeled price. Then he sells the
remaining 4 toys at an additional 25% discount on the discounted price.
Thus, he gets a total of Rs 2112, and makes a 10% profit. With no discounts,
his percentage of profit would have been
o A.60 %
o B.50 %
o C.55 %
o D.54 %
• 61. A shop owner bought a total of 64 shirts from a wholesale market that
came in two sizes, small and large. The price of a small shirt was INR 50 less
than that of a large shirt. She paid a total of INR 5000 for the large shirts,
and a total of INR 1800 for the small shirts. Then, the price of a large shirt
and a small shirt together, in INR, is
o A.150
o B.225
o C.175
o D.200
• 62. Amal purchases some pens at Rs.8 each. To sell these, he hires an
employee at a fixed wage. He sells 100 of these pens at & 12 each. If the
remaining pens are sold at Rs.11 each, then he makes a net profit of R 300,
while he makes a net loss of Rs.300 if the remaining pens are sold at Rs.9
each. The wage of the employee, in INR, is
o A.1000
o B.1500
o C.1300
o D.1400
• 63. A man buys 35 kg of sugar and sets a marked price in order to make a
20% profit. He sells 5 kg at this price, and 15 kg at a 10% discount.
Accidentally, 3 kg of sugar is wasted. He sells the remaining sugar by raising
the marked price by p percent so as to make an overall profit of 15%. Then
p is nearest to
o A.35
o B.31
o C.22
o D.25
• A shopkeeper purchased a box containing 50 pens for Rs. 500. He sold some
of these pens at a profit of 30%. On the remaining pens, he incurred a loss
of 10%. If his overall profit on the entire box was 10%, then how many of
the pens did he sell at
o A.25
o B.30
o C.20
o D.15
Profit & Loss-9 (Dish-honest Shopkeeper)
• 64. A dealer professes to sell his goods at cost price but he uses a false
weight of 950 grams for a kilogram. The gain % of the dealer is
o A.
o B.
o C.
o D.
• 65. A dishonest dealer uses a scale of 90 cm instead of a meter scale and
claims to sell at cost price. His profit is
o A.9 %
o B.10 %
o C.12 %
o D.None
• 66. A fruit seller professes to sell his fruits at cost price, but still gain 25%
on his outlay. What weight does he substitute for a kilogram?
o A.800 gm
o B.850 gm
o C.890 gm
o D.900 gm
• 67. A dishonest dealer professes to sell his goods at cost price. But he uses a
false weight and thus gain 6 18/47%. For a kg, he uses a weight of
o A.940 gm
o B.947 gm
o C.953 gm
o D.960 gm
• 68. At the buying a shopkeeper uses 1200 gm weight instead of 1 kg, and at
the time of selling he uses 900 gm instead of 1 kg. Find his overall profit
percent
o A.
o B.
o C.
o D.
• 69. A trader cheats both his supplier and his customer by using faulty
weights. When he buys from the supplier, he takes 20% more than the
indicated weight. When he sells to his customer, he gives 20% less than the
indicated weight. If he sells his articles at the cost price, what is his net profit
o A.
o B.
o C.
o D.
• 70. A dishonest shopkeeper promises to sell his goods at 40% profit but he
uses 750 gm instead of 1 kg. Find his actual profit %
o A.
o B.
o C.
o D.
• 71. A dishonest shopkeeper promises to sell his goods at 44% loss but he
uses 910 gm weight instead of 1 kg. Find his actual loss% or gain%?
o A.
o B.
o C.
o D.
• 72. A man marks up his goods bt 15% but he gives 920 gm instead of 1 kg
to his customer.Find his profit%
o A.
o B.
o C.
o D.
• 73. A shopkeeper marks his goods 17% above the CP. at the time of selling
the goods he uses 845 gm weight instead of 1 kg. Find his profit%
o A.
o B.
o C.
o D.
• 74. A shopkeeper marks his goods 24% above the CP and gives 15%
discount to customer.While selling gives 101gm less in each 1 kg goods. Find
his profit%
o A.
o B.
o C.
o D.
• 75. A shopkeeper marks his goods 35% above the CP and gives 23%
discount to the customer, at the the of buying he uses 1120 gm instead of 1
kg and at the time of selling the goods he gives 880 gm weight instead of 1
kg. Find his profit%
o A.
o B.
o C.
o D.
• 76. A dishonest dealer marks up the price of his goods by 30% and gives a
discount of 20% to the customer. besides, he also cheats both his supplier
and his buyer by 100 gm while buying or selling 1 kilogram. Find the
percentage profit earned by the shopkeeper, if it is known that the
shopkeeper takes 10% discount from his supplier and he disregards this
discount while marking up
o A.
o B.
o C.
o D.
• 78. A shopkeeper marks his goods at 60% above the cost price. He allows a
discount of 12.5%, also he cheats 14.28% while purchasing and 20% while
selling and gives one article free on purchase of 15 articles. Find his overall
gain or loss % on the transaction
o A.
o B.
o C.
o D.
• 79. Left pan of a faulty balance weighs 100 gm more than its right pan. A
shopkeeper keeps the weight measure in the left pan while buying goods
but keeps it in the right pan while selling his goods. He uses only 1 kg weight
measure. If he sells his goods at the listed cost price, what is his gain?
o A.100/11%
o B.200/11%
o C.100/9%
o D.200/9%
• 80. A shopkeeper advertises for selling cloth at 4% loss. However, by using
false meter scale he actually gain 20%. What is the actual length of the scale
o A.70 CM
o B.75 CM
o C.80 CM
o D.90 CM
• 81. A trader professes to sell his goods at nominal gain percent but actually
earn 37.5% profit by using false weight. If for a kg he uses a weight of
800gm, what is the nominal gain percent at which he claims to selling the
goods?
o A.08
o B.20
o C.15
o D.10
• 82. A dry fruit merchant professes to sell 2kg almond packs at a loss of 20%.
However, he uses two false weight each of which is marked 1 kg and thus
gain 6.66% on selling every 2 kg almonds. If it is given that one of the
weights weighs only 850 gm, then how much does the other weight weigh?
o A.650
o B.700
o C.725
o D.750