discount, partnership business, mixture and allegation - Question Bank
1. In what ratio must rice at Rs. 40 per kg be mixed with rice at Rs. 45 per kg so that by selling the mixture at Rs. 44 per kg, there is a profit of 10%?
2. A and B invest Rs. 12,000 and Rs. 18,000 in a partnership. A manages the business. After 6 months, B invests an additional Rs. 12,000. If the profit is Rs. 33,000, what is A's share?
3. A shopkeeper marks his goods 50% above the cost price. He sells them at a discount of 20%. What is his profit percentage?
4. A mixture contains alcohol and water in the ratio 5:2. If 7 litres of water is added, the ratio becomes 5:3. What is the quantity of alcohol in the original mixture?
5. Ravi and Suresh start a business with Rs. 40,000 and Rs. 60,000. Ravi manages the business for 12 months, and Suresh for 8 months. If the profit is Rs. 42,000, what is Ravi's share?
6. A shopkeeper sells an article for Rs. 800 after allowing a discount of 20% on the marked price. What is the marked price?
7. In what ratio should water be mixed with spirit to sell the mixture at cost price, making a profit of 25%?
8. A and B invest Rs. 20,000 and Rs. 30,000 respectively in a partnership. A manages the business. If the profit is Rs. 25,000, what is B's share?
9. A shopkeeper marks an article at 40% above its cost price. He then sells it at a discount of 25%. What is his profit or loss percentage?
10. A mixture of 50 litres contains milk and water in the ratio 4:1. How much milk should be added so that the ratio becomes 5:1?
11. A and B invest Rs. 30,000 and Rs. 40,000 in a business. A manages the business. After 6 months, B withdraws his capital. If the profit is Rs. 25,000, what is A's share?
12. An article is sold for Rs. 1,350 after allowing a discount of 10%. What is the marked price?
13. In what ratio should tea at Rs. 80 per kg be mixed with tea at Rs. 95 per kg so that by selling the mixture at Rs. 96 per kg, there is a profit of 20%?
14. A and B start a business by investing Rs. 50,000 and Rs. 70,000. A is a working partner and gets 15% of the profit, and the rest is divided in the ratio of their investment. If the total profit is Rs. 40,000, what is B's share?
15. A shopkeeper marks his goods 25% above the cost price and offers a discount of 10%. What is his net profit percentage?
16. A mixture of 60 litres of milk and water contains 20% water. How much more water should be added to make the water percentage 30%?
17. P and Q enter into a partnership. P invests Rs. 40,000 and Q invests Rs. 60,000. After 6 months, P withdraws half of his capital. If the profit at the end of the year is Rs. 45,000, what is Q's share?
18. A shopkeeper allows a discount of 20% on the marked price. If the selling price is Rs. 960, what is the marked price?
19. In what ratio should cheap rice costing Rs. 20 per kg be mixed with dear rice costing Rs. 25 per kg so that the mixture of 20% profit is obtained by selling at Rs. 24 per kg?
20. A and B start a business with investments of Rs. 60,000 and Rs. 80,000. A invests for 12 months and B invests for 9 months. If the profit is Rs. 54,000, what is A's share?
21. A dealer buys an article for Rs. 500 and marks it up by 40%. He then sells it at a discount of 20%. What is the selling price?
22. A mixture of 20 litres contains milk and water in the ratio 3:1. How much milk should be added so that the ratio becomes 4:1?
23. A and B invest Rs. 10,000 and Rs. 15,000 respectively in a business. A manages the business. After 8 months, C joins with Rs. 20,000. If the profit is Rs. 36,000, what is B's share?
24. A shopkeeper sells an item at Rs. 720 after allowing a discount of 10% on the marked price. What is the marked price?
25. In what ratio should tea at Rs. 50 per kg be mixed with tea at Rs. 70 per kg so that by selling the mixture at Rs. 66 per kg, there is a profit of 10%?
26. A and B start a business by investing Rs. 15,000 and Rs. 20,000. A is a working partner and gets 10% of the profit, and the rest is divided in the ratio of their investment. If the total profit is Rs. 22,000, what is A's total share?
27. A trader marks an article 30% above its cost price and then gives a discount of 20%. What is the profit percentage?
28. A mixture of 40 litres of wine and water contains 10% water. How much water must be added to make the water content 20%?
29. P, Q, and R enter into a partnership. P invests Rs. 50,000 for 6 months, Q invests Rs. 60,000 for 4 months, and R invests Rs. 80,000 for 3 months. If the total profit is Rs. 34,000, what is Q's share?
30. A shopkeeper offers a discount of 10% on the marked price of an article. He sells it for Rs. 900. What is the marked price?
31. In what ratio must rice at Rs. 30 per kg be mixed with rice at Rs. 36 per kg so that by selling the mixture at Rs. 35 per kg, there is a profit of 16.66%?
32. A and B invest in a partnership. A invests Rs. 40,000 for 12 months and B invests Rs. 60,000 for 8 months. If the profit is Rs. 48,000, what is A's share?
33. A shopkeeper marks his goods 60% above the cost price and then offers a discount of 25%. What is his profit percentage?
34. A mixture of 30 litres contains milk and water in the ratio 3:2. How much water should be added so that the ratio becomes 1:2?
35. X and Y invest Rs. 80,000 and Rs. 1,20,000 in a business. After 6 months, Z joins with Rs. 1,60,000. If the total profit is Rs. 60,000, what is X's share?
36. An item is sold at a discount of 25%. If the selling price is Rs. 450, what is the marked price?
37. In what ratio should water be mixed with milk to sell it at cost price, making a profit of 20%?
38. A and B start a business with initial investments of Rs. 25,000 and Rs. 35,000 respectively. A withdraws his capital after 8 months, while B continues for the whole year. If the profit is Rs. 22,000, what is A's share?
39. A shopkeeper sells an article at a discount of 10% on its marked price. If the marked price is Rs. 1,500, what is the selling price?
40. How many kilograms of sugar costing Rs. 36 per kg must be mixed with 10 kg of sugar costing Rs. 42 per kg so that 25% profit is obtained by selling the mixture at Rs. 45 per kg?
41. Ravi and Suresh enter into a partnership investing Rs. 40,000 and Rs. 60,000 respectively. Ravi manages the business. If the profit is Rs. 30,000, what is Suresh's share?
42. A dealer marks an item at 50% above its cost price. He then sells it at a discount of 20%. What is his profit percentage?
43. A mixture contains alcohol and water in the ratio 4:3. If 5 litres of water is added to the mixture, the ratio becomes 4:5. What is the quantity of alcohol in the original mixture?
44. P and Q invest Rs. 12,000 and Rs. 16,000 in a business. P manages the business for 9 months and Q for 12 months. If the profit is Rs. 20,000, what is P's share?
45. A shopkeeper allows a discount of 15% on the marked price of an article. If the marked price is Rs. 200, what is the selling price?
46. Two vessels contain a mixture of milk and water. The first vessel has 60% milk and the second vessel has 80% milk. In what ratio should the contents of the two vessels be mixed to get a mixture with 75% milk?
47. A and B start a business by investing Rs. 50,000 and Rs. 80,000 respectively. A manages the business for the whole year, while B manages it for 8 months. If the profit is Rs. 26,000, what is B's share?
48. A trader buys an article for Rs. 800 and marks it up by 25%. He then gives a discount of 10%. What is the selling price?
49. In what ratio should tea at Rs. 60 per kg be mixed with tea at Rs. 65 per kg so that by selling the mixture at Rs. 68.20 per kg, there is a profit of 10%?
50. Two partners, A and B, invest Rs. 15,000 and Rs. 20,000 respectively in a business. After 4 months, C joins them with Rs. 30,000. If the total profit at the end of the year is Rs. 35,000, what is A's share of the profit?