Top 20+ CAT Profit and Loss Questions With Video Solutions

Profit and Loss is one of the most important topics in the CAT Quant section. Over the past few years, CAT Profit and Loss questions have made a recurrent appearance in the Quant section. You can also check out these Profit and Loss Questions for CAT PDFs from the CAT Previous year's papers.  The concept of Profit, Loss and Interest is one of the most important topics in Arithmetic. These concepts are also tested in Data Interpretation section. To help students overcome this difficulty, we have composed  a collection of Top 22 most challenging CAT questions of CAT Profit, Loss and Interest with accompanying video and text solution. Every question has its video solution that is explained by CAT experts.  For getting more practice, use the free resources of CAT Previous Papers.  Keep practising free CAT mocks where you'll get a fair idea of how questions are asked, and type of questions asked. 
Practice these CAT profit and loss questions PDF, with Video solutions. Learn all the major formulae from these concepts. You can check out the Important CAT Profit and Loss Formulas PDF here.

You can expect around 3-4 questions in the new format of the CAT Quant section. If you're new to this section, you can check out the CAT Profit and Loss Questions from the CAT Previous Year papers. Here, we have covered the very important Profit and Loss questions PDF(with video solutions) for CAT 2024 preparation. 

CAT Profit and Loss Weightage Over Past 3 Years

Year

Weightage

20236

2022

4

2021

5

Tips for CAT Profit and Loss Questions

Tip 1: Be thorough with all the basics of this topic. If you're starting the prep, firstly understand the CAT Arithmetic Syllabus; CAT Profit and Loss questions are easy, and hence must not be avoided.

Tip 2: Understand the important terms such as Cost Price, Selling Price, Discounts, Marked Price etc. You can check out our formula sheet for the important Profit and Loss Formulas.

Also, understand percentages well. Learn to convert from fractions to percentages and percentages to fractions - this will come in handy while solving the problems.

    CAT Profit and Loss Formulas PDF

    1. Formulae - Consecutive Profit %

    When there are two successive profits of $$x\%$$ and $$y\%$$ then the net percentage profit $$=\ \dfrac{\ x+y+xy}{100}$$.

    When there is a profit of $$x\%$$ and loss of $$y\%$$ then net percentage profit or loss $$=\ \dfrac{\ x-y-xy}{100}$$

    2. Fornulae - SP - CP - Discount - Marked Price

    The cost price of an article is C.P, the selling price is S.P and the marked price is M.P

    Profit (Loss) = S.P – C.P

    % Profit (Loss) = Profit (Loss)/C.P *100

    Discount = M.P – S.P

    % Discount = Discount/M.P * 100

    Total increase in price due to two subsequent increases of X% and Y% is (X+Y+XY/100)%

      CAT 2023 Profit And Loss questions

      Question 1

      A merchant purchases a cloth at a rate of Rs.100 per meter and receives 5 cm length of cloth free for every 100 cm length of cloth purchased by him. He sells the same cloth at a rate of Rs.110 per meter but cheats his customers by giving 95 cm length of cloth for every 100 cm length of cloth purchased by the customers. If the merchant provides a 5% discount, the resulting profit earned by him is


      Question 2

      Gita sells two objects A and B at the same price such that she makes a profit of 20% on object A and a loss of 10% on object B. If she increases the selling price such that objects A and B are still sold at an equal price and a profit of 10% is made on object B, then the profit made on object A will be nearest to


      Question 3

      Minu purchases a pair of sunglasses at Rs.1000 and sells to Kanu at 20% profit. Then, Kanu sells it back to Minu at 20% loss. Finally, Minu sells the same pair of sunglasses to Tanu. If the total profit made by Minu from all her transactions is Rs.500, then the percentage of profit made by Minu when she sold the pair of sunglasses to Tanu is


      Question 4

      Jayant bought a certain number of white shirts at the rate of Rs 1000 per piece and a certain number of blue shirts at the rate of Rs 1125 per piece. For each shirt, he then set a fixed market price which was 25% higher than the average cost of all the shirts. He sold all the shirts at a discount of 10% and made a total profit of Rs.51000. If he bought both colors of shirts, then the maximum possible total number of shirts that he could have bought is

      CAT 2022 Profit And Loss questions

      Question 1

      Amal buys 110 kg of syrup and 120 kg of juice, syrup being 20% less costly than juice, per kg. He sells 10 kg of syrup at 10% profit and 20 kg of juice at 20% profit. Mixing the remaining juice and syrup, Amal sells the mixture at ₹ 308.32 per kg and makes an overall profit of 64%. Then, Amal’s cost price for syrup, in rupees per kg, is

      CAT 2021 Profit And Loss questions

      Question 1

      Raj invested ₹ 10000 in a fund. At the end of first year, he incurred a loss but his balance was more than ₹ 5000. This balance, when invested for another year, grew and the percentage of growth in the second year was five times the percentage of loss in the first year. If the gain of Raj from the initial investment over the two year period is 35%, then the percentage of loss in the first year is


      Question 2

      Amal purchases some pens at ₹ 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 ₹ 11 each, then he makes a net profit of ₹ 300, while he makes a net loss of ₹ 300 if the remaining pens are sold at ₹ 9 each. The wage of the employee, in INR, is


      Question 3

      Anil, Bobby, and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil’s share of investment is 70%. His share of profit decreases by ₹ 420 if the overall profit goes down from 18% to 15%. Chintu’s share of profit increases by ₹ 80 if the overall profit goes up from 15% to 17%. The amount, in INR, invested by Bobby is

      CAT 2020 Profit And Loss questions

      Question 1

      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


      Question 2

      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


      Question 3

      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

      CAT 2019 Profit And Loss questions

      Question 1

      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?


      Question 2

      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


      Question 3

      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

      CAT 2017 Profit And Loss questions

      Question 1

      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%?


      Question 2

      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


      Question 3

      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?


      Question 4

      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?

      CAT 2001 Profit And Loss questions

      Question 1

      The owner of an art shop conducts his business in the following manner: every once in a while he raises his prices by X%, then a while later he reduces all the new prices by X%. After one such updown cycle, the price of a painting decreased by Rs. 441. After a second up-down cycle the painting was sold for Rs. 1,944.81. What was the original price of the painting?

      CAT 1997 Profit And Loss questions

      Question 1

      After allowing a discount of 11.11%, a trader still makes a gain of 14.28%. At how many percentage above the cost price does he mark on his goods?

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