CAT Profit, Loss & Discount Questions

Profit, loss and discount questions relate cost price, marked price and selling price. Profit and loss normally use cost price as the base, while discount uses marked price.

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Key concepts

Cost price, marked price and selling price
Markup and discount factors
Successive discounts

CAT profit, loss & discount practice questions

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Practise Free Tests on InsideIIM

Common mistakes

Using the same base for profit and discount.
Adding successive discounts instead of multiplying the price factors.

Practical solving approaches

Label each price and follow the chain from cost price to selling price.
Set a convenient starting price when only percentages are supplied and verify which price each percentage refers to.

Profit, Loss & Discount FAQs

Is a discount equal to a loss?: No. A discount reduces the marked price; a loss occurs only when the selling price is below the cost price.

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CAT profit, loss & discount practice questions

Question 1Multiple choiceEASY

Type in your answer in the input box provided below the question.

A shopkeeper sells a gold bracelet and a golden ring for Rs 10,000 each. On one of the items he loses 20% and on the other item he gains 20% of profit. His gain or loss percentage in the entire transaction is?

Question 2Multiple choiceMEDIUM

If she had made 25 necklaces in all and earned a 60% profit, find the profit she made by selling \'Type 2\' necklaces.

Refer to the data below and answer the questions that follow.

Anita purchased five packs of beads of different colours. Each pack has 100 beads. She made two types of necklaces using all the beads. Type 1: Necklace with two coloured beads. Type 2: Necklace with single coloured beads. She sold 'Type 1' necklace for Rs.30 and 'Type 2' necklace for Rs.25. Each pack of beads cost Rs.80. All necklaces that Anita made have equal number of beads.

Question 3Multiple choiceMEDIUM

Select the correct alternative from the given choices.

Answer the questions independently of each other.

Harish purchased a motorcycle for Rs.19725 in the year 1992. Due to some financial problems, he wanted to sell it in the year 1995. He displayed the selling price as Rs.19200. Ram wanted to purchase it and negotiated for a 10% discount on the price. But Harish sold him the motorcycle after giving 2 consecutive discounts of 7% and then 3% on the displayed selling price.

The depreciation for the motorcycle is 10% per annum. What is the net discount that Harish offered Ram?

Question 4Multiple choiceMEDIUM

Select the correct alternative from the given choices.

Traders A and B buy two goods for Rs. 1000 and Rs. 2000 respectively. Trader A marks his goods up by x%, while trader B marks his goods up by 2x% and offers a discount of x%. If both make the same non-zero profit, find x.

 

Question 5Multiple choiceHARD

Select the correct alternative from the given choices.

A merchant can buy goods at the rate of Rs. 20 per good. The particular good is part of an overall collection and the value is linked to the number of items that are already on the market. So, the merchant sells the first good for Rs. 2, second one for Rs. 4, third for Rs. 6…and so on. If he wants to make an overall profit of at least 40%, what is the minimum number of goods he should sell?

Question 6Multiple choiceMEDIUM

Select the correct alternative from the given choices.

A merchant buys 80 articles, each at Rs. 40. He sells n of them at a profit of n% and the remaining at a profit of (100 – n)%. What is the minimum profit the merchant could have made on this trade?

 

Question 7Multiple choiceMEDIUM

Select the correct alternative from the given choices.

Ram sells onions in the streets of Chandni Chowk. Due to recent shortfall in the supply of onions, he doubles his selling price despite the cost price remains same for him due to a fixed price contract. He realizes that his profit has tripled. Find the original profit percent.

 

Question 8Multiple choiceMEDIUM

Select the correct alternative from the given choices.

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

Question 9Type in the answerMEDIUM

Type in your answer in the input box provided below the question.

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 10Multiple choiceMEDIUM

Select the correct alternative from the given choices.

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 11Multiple choiceMEDIUM

Select the correct alternative from the given choices.

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

Question 12Type in the answerEASY

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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 13Type in the answerMEDIUM

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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

Question 14Multiple choiceMEDIUM

Select the correct alternative from the given choices

A shopkeeper purchased rice from two farmers. From one farmer, he purchased 8 kg of rice for a total of Rs. 100, while from the
second farmer, he purchased 4 kg of rice for a total of Rs. 120. He had to incur transportation cost to bring the rice to his shop,
which was equal to 5% of the amount he paid to the farmers. On reaching his shop, he mixed the rice purchased from the two
farmers. While mixing, 2% rice fell on the ground and therefore could not be sold. At what price should he sell the rice so as to
make 10% overall profit?

CAT Profit, Loss & Discount Questions

Profit, loss and discount questions relate cost price, marked price and selling price. Profit and loss normally use cost price as the base, while discount uses marked price.

Loading question count…

Key concepts

Cost price, marked price and selling price
Markup and discount factors
Successive discounts

CAT profit, loss & discount practice questions

Loading questions…

Practise Free Tests on InsideIIM

Common mistakes

Using the same base for profit and discount.
Adding successive discounts instead of multiplying the price factors.

Practical solving approaches

Label each price and follow the chain from cost price to selling price.
Set a convenient starting price when only percentages are supplied and verify which price each percentage refers to.

Profit, Loss & Discount FAQs

Is a discount equal to a loss?: No. A discount reduces the marked price; a loss occurs only when the selling price is below the cost price.

Loading practice data…

CAT profit, loss & discount practice questions

Question 1Multiple choiceEASY

Type in your answer in the input box provided below the question.

Question 2Multiple choiceMEDIUM

If she had made 25 necklaces in all and earned a 60% profit, find the profit she made by selling \'Type 2\' necklaces.

Refer to the data below and answer the questions that follow.

Question 3Multiple choiceMEDIUM

Select the correct alternative from the given choices.

Answer the questions independently of each other.

The depreciation for the motorcycle is 10% per annum. What is the net discount that Harish offered Ram?

Question 4Multiple choiceMEDIUM

Select the correct alternative from the given choices.

Question 5Multiple choiceHARD

Select the correct alternative from the given choices.

Question 6Multiple choiceMEDIUM

Select the correct alternative from the given choices.

A merchant buys 80 articles, each at Rs. 40. He sells n of them at a profit of n% and the remaining at a profit of (100 – n)%. What is the minimum profit the merchant could have made on this trade?

 

Question 7Multiple choiceMEDIUM

Select the correct alternative from the given choices.

Question 8Multiple choiceMEDIUM

Select the correct alternative from the given choices.

Question 9Type in the answerMEDIUM

Type in your answer in the input box provided below the question.

Question 10Multiple choiceMEDIUM

Select the correct alternative from the given choices.

Question 11Multiple choiceMEDIUM

Select the correct alternative from the given choices.

Question 12Type in the answerEASY

Type in your answer in the input box provided below the question.

Question 13Type in the answerMEDIUM

Type in your answer in the input box provided below the question.

Question 14Multiple choiceMEDIUM

Select the correct alternative from the given choices

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CAT Profit, Loss & Discount Questions

Key concepts

CAT profit, loss & discount practice questions

Common mistakes

Practical solving approaches

Profit, Loss & Discount FAQs

CAT Profit, Loss & Discount Questions

Key concepts

CAT profit, loss & discount practice questions

Common mistakes

Practical solving approaches

Profit, Loss & Discount FAQs

More Arithmetic practice

CAT Profit, Loss & Discount Questions

Key concepts

CAT profit, loss & discount practice questions

Common mistakes

Practical solving approaches

Profit, Loss & Discount FAQs

CAT Profit, Loss & Discount Questions

Key concepts

CAT profit, loss & discount practice questions

Common mistakes

Practical solving approaches

Profit, Loss & Discount FAQs

More Arithmetic practice