Profit and Loss - Level 2 (PYQs)
- IIMwalaBanda
- Aug 1
- 4 min read
Updated: Aug 13
Q1. [CAT 2025] A mobile phone was sold at a loss of 5%. Had it been sold for ₹90 more, the seller would have made a profit of 1%. Find the cost price of the phone. (P)
(a) ₹1,200
(b) ₹1,350
(c) ₹1,500
(d) ₹1,650
Q2. [CAT 2020, Slot 1] A person spent ₹50,000 to buy a desktop computer and a laptop computer. He sold the desktop at a 20% profit and the laptop at a 10% loss. If overall he made a 2% profit, find the purchase price of the desktop. (P)
(a) ₹15,000
(b) ₹18,000
(c) ₹20,000
(d) ₹22,000
Q3. [CAT 2021, Slot 1] Amal purchases some pens at ₹8 each and hires an employee at a fixed wage to help sell them. He sells 100 of the pens at ₹12 each. If he sells the remaining pens at ₹11 each, he makes a net profit of ₹300; if instead he sells the remaining pens at ₹9 each, he makes a net loss of ₹300. Find the employee's wage. (P)
(a) ₹800
(b) ₹900
(c) ₹1,000
(d) ₹1,200
Q4. [CAT 2023, Slot 1] Priya sells two items, A and B, at the same price, making a profit of 20% on A and a loss of 10% on B. She then raises the selling price of both (still keeping them equal to each other) so that she now makes a profit of 10% on B. Find her new profit percentage on A (nearest value). (P)
(a) 42%
(b) 45%
(c) 47%
(d) 49%
Q5. [CAT 2021, Slot 2] Anil, Bobby and Chintu jointly invest in a business and share profits in proportion to their investments. Anil's share of investment is 70% of the total. Anil's share of profit decreases by ₹420 if the overall profit margin falls from 18% to 15%. Separately, Chintu's share of profit increases by ₹80 if the overall profit margin rises from 15% to 17%. Find the amount invested by Bobby. (P)
(a) ₹1,500
(b) ₹1,800
(c) ₹2,000
(d) ₹2,400
Q6. [CAT 2025] Suresh sells a laptop to Ravi by marking up the price by 20%. Ravi sells it to Mohan at a profit of 30%. Mohan sells it to Deepak at a profit of 50%. If Deepak paid ₹1,560 more than the price Mohan paid Ravi, find the original cost price of the laptop. (P)
(a) ₹1,600
(b) ₹1,800
(c) ₹2,000
(d) ₹2,200
Q7. [CAT 2023, Slot 3] A merchant buys cloth at ₹100 per metre but gets an extra 5 cm free for every 100 cm he buys. He sells the same cloth at a marked price of ₹110 per metre, but shortchanges customers by giving only 95 cm for every 100 cm they pay for, and also offers a genuine 5% discount on his marked price. Find his resulting profit percentage. (P)
(a) 4.2%
(b) 9.7%
(c) 15.5%
(d) 16%
Q8. [CAT 2022, Slot 1] Amal buys 110 kg of syrup and 120 kg of juice, with syrup costing 20% less per kg than juice. He sells 10 kg of syrup at a 10% profit and 20 kg of juice at a 20% profit. He then mixes the remaining syrup and juice and sells the mixture at ₹308.32 per kg, making an overall profit of 64% on the whole 230 kg. Find Amal's cost price for syrup, in rupees per kg. (P)
(a) ₹120
(b) ₹140
(c) ₹160
(d) ₹180
Q9. [CAT 2023, Slot 2] Meera buys a pair of sunglasses for ₹1,000 and sells it to Kavya at a 20% profit. Kavya sells it back to Meera at a 20% loss. Meera then sells it to Tara. If Meera's total profit across all her transactions is ₹500, find her profit percentage on the sale to Tara. (P)
(a) 25%
(b) 28%
(c) 31.25%
(d) 35%
Q10. [CAT 2024, Slot 2] Anita sells a product at a 19% loss for ₹4,860 to Bimal, who then resells it to Chetan. If Anita had instead sold the product directly to Bimal at the price Chetan eventually paid, she would have made a 17% profit. Find the profit (in ₹) made by Bimal. (P)
(a) ₹1,800
(b) ₹2,000
(c) ₹2,160
(d) ₹2,400
Q11. [CAT 2021, Slot 2] A person buys tea of three different qualities at ₹800, ₹500, and ₹300 per kg, in the proportion 2:3:5 by weight. She mixes all the tea and sells one-sixth of the mixture at ₹700 per kg. Find the price (in ₹ per kg) at which she should sell the remaining tea to make an overall profit of 50% on the whole lot. (P)
(a) ₹650
(b) ₹680
(c) ₹688
(d) ₹700
Q12. [CAT 2021, Slot 3] Part of a hostel's monthly expenses is fixed, and the rest is proportional to the number of boarders. The hostel collects ₹1,600 per month from each boarder. When there are 50 boarders, the hostel's profit is ₹200 per boarder; when there are 75 boarders, the profit is ₹250 per boarder. Find the hostel's total profit (in ₹) when there are 80 boarders. (P)
(a) ₹18,000
(b) ₹19,500
(c) ₹20,000
(d) ₹20,500
Q13. [CAT 2023, Slot 2] Jayant bought some white shirts at ₹1,000 each and some blue shirts at ₹1,125 each. He set a single marked price for all shirts, 25% above the average cost price of all shirts bought, then sold every shirt at a 10% discount on that marked price, earning a total profit of ₹51,000. If he bought at least one shirt of each colour, find the maximum possible total number of shirts he could have bought. (P)
(a) 391
(b) 399
(c) 403
(d) 407
Scroll to the bottom for answer key and refer embeded video page for solution or visit @iimwalabanda YouTube page
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