Ratio & Partnership is one of the most repeated and high-scoring topics in Arithmetic for CAT 2026. This page includes carefully selected CAT arithmetic important questions covering ratios, proportions, and partnership-based profit distribution problems aligned with real CAT exam patterns. These questions strengthen your ability to handle both direct and application-based CAT Quant problems.
51. Siddhi deposited Rs. 1,20,000 in a bank which paid 10% compound interest for 2 years. Then after 2 years, she started a business with the amount received along with Riddhi, who joined with a capital of Rs.1.32 lakh. Siddhi invested for 6 months and left whereas Riddhi invested for the whole year. What will be the ratio of their profits at the end of the year?
52. A and B wanted to start a business. A saved Rs. 1,000 every month for 12 months while B saved Rs. 2,000 every alternate month (1st, 3rd, 5th, 7th, 9th and 11th months). Both A and B saved their respective amounts in Piggy banks and hence did not earn any interest. After 12 months, A and B joined C to start the business. A and B invested the amounts they saved in their piggy banks while C invested Rs. 15,000. If the business earned a total profit of Rs. 3,900, what was the difference in the profits earned by A and C?
53. Kamla and Bimla started a business by investing amounts in the ratio 3: 2. They donate 5% of the profit of the business to a charity and then divide remaining profit in the ratio of their investment in the business. If Kamla’s share in the profit was Rs. 57,000, how much amount was donated to charity?
54. Geeta bought some kurtas of the same type and some lehengas of the same type from a shopping mall. Each piece of kurta costs 60% more than each piece of lehengas. While preparing the bill the cashier swapped the number of kurtas and the number of lehengas. Due to this mistake, Geeta had to pay 20% more than the correct bill amount. Which of the following can be the total number of kurtas and lehengas bought by Geeta?
55. The price of a diamond varies directly as the cube of its weight. A diamond broke into four pieces with weights in the ratio 1: 2: 3: 3 without any wastage. The difference between the prices of the lightest and the heaviest pieces is Rs. 52,000. Find the price (in Rs.) of the original diamond.
56. Anil and Sunil purchased a house for Rs. 1,23,00,000. Further they spent Rs. 15,00,000 on the renovation of the house. Out of the amount paid for purchasing the flat, 60% was contributed by Anil. Also, out of the amount paid for renovation, 40% was contributed by Anil. The remaining amount for purchasing the flat as well as renovation was contributed by Sunil. After the renovation was over, they gave the house on rent for Rs. 55,200 per month. The rent was shared by the two in the ratio of their share in the total amount spent on the house (purchase cost and renovation cost). How much amount (in Rs.) does Sunil receive every month out of the total rent?
57. Three friends A, B, and C went for a picnic. A brought five sandwiches and B brought eight sandwiches. As C did not bring any food they decided to share the sandwiches equally among them and asked C to pay Rs. 26 in total to A and B. How much does B receive as the price of the sandwiches he gave to C?
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