Partnership, Average, Time and Work - Question Bank
1. A can do a work in 16 days and B can do it in 12 days. A starts the work and works for 4 days. Then B joins A. In how many days will the remaining work be completed by both of them together?
2. A person travels from P to Q at 50 km/hr and returns from Q to P at 75 km/hr. What is the average speed for the entire journey?
3. The average weight of 8 men increases by 2.5 kg when one of the men, who weighs 65 kg, is replaced by a new man. What is the weight of the new man?
4. The average of 5 numbers is 40. If two numbers, 30 and 50, are removed, what is the average of the remaining numbers?
5. A, B, and C start a business with investments in the ratio 3:5:7. After 4 months, A invests more money such that his total investment becomes equal to C's initial investment. If the total profit at the end of the year is Rs. 28,000, find A's share.
6. A and B can do a work in 5 days and 7 days respectively. They work together for 3 days. The remaining work is completed by B alone. In how many days did B complete the remaining work?
7. A man travels from A to B at 30 km/hr and returns from B to A at 20 km/hr. What is the average speed for the entire journey?
8. The average age of a group of 30 women is 45 years. If 10 new women with an average age of 50 years join the group, what will be the new average age of the group?
9. The average of 4 numbers is 30. If one number is added, the average becomes 32. What is the added number?
10. A and B are partners. A invests Rs. 10,000 for 12 months and B invests Rs. 8,000 for 8 months. If the total profit is Rs. 28,000, what is A's share?
11. A can do a work in 20 days. B can do it in 30 days. They work together for 4 days. Then C joins them, and the work is finished in 3 more days. In how many days can C alone do the work?
12. A car covers a distance of 300 km in 4 hours. It covers the first 100 km in 1.5 hours. What is the average speed for the remaining journey?
13. The average age of 5 men is increased by 2 years when one man aged 30 years is replaced by a new man. What is the age of the new man?
14. The average of 3 numbers is 10. The average of the first two numbers is 12. What is the third number?
15. A, B, and C invest in a business in the ratio 2:3:4. They work as partners. The total profit is Rs. 27,000. What is the share of C?
16. A and B can complete a work in 8 days and 12 days respectively. They work together for 3 days, and then A leaves. How many days will B take to complete the remaining work?
17. A man travels uphill at 20 km/hr and downhill at 30 km/hr. What is the average speed for the entire journey?
18. The average marks of 12 students in a class is 68. If the marks of the teacher are included, the average increases by 2. What is the marks of the teacher?
19. The average of 5 numbers is 29. If one number is removed, the average of the remaining four numbers is 27. What is the removed number?
20. A and B start a business by investing Rs. 25,000 and Rs. 35,000 respectively. A is a working partner and gets 15% of the profit for his services. The remaining profit is divided in the ratio of their investments. If the total profit is Rs. 46,000, find B's share.
21. A can do a work in 10 days. B can do the same work in 15 days. A works for 3 days and then B joins him. In how many more days will the work be completed?
22. A man travels 1/3 of a distance at 20 km/hr, 1/2 of the distance at 40 km/hr, and the remaining distance at 50 km/hr. What is the average speed for the entire journey?
23. The average score of a batsman in 10 innings is 32. How many runs must he score in the 11th inning so that his average score becomes 36?
24. The average of 9 numbers is 50. If one number is removed, the average becomes 48. What is the removed number?
25. A and B enter into a partnership with Rs. 50,000 and Rs. 60,000 respectively. After 8 months, A withdraws his capital. In what ratio will the profit be divided at the end of the year?
26. A can do a piece of work in 24 days. B can do it in 30 days. C can do it in 40 days. They work together for 3 days. Then B leaves. In how many days will A and C complete the remaining work?
27. A person travels from point P to point Q at 40 km/hr and returns from Q to P at 60 km/hr. If the total time taken for the journey is 5 hours, what is the distance between P and Q?
28. The average age of a group of 15 persons is 32 years. If 5 new persons with an average age of 36 years join the group, what will be the new average age of the group?
29. The average of 5 numbers is 18. If a sixth number is added, the average becomes 20. What is the sixth number?
30. A, B, and C invest Rs. 10,000, Rs. 12,000, and Rs. 15,000 respectively in a business. A and B are working partners and get 10% of the profit for management. The remaining profit is divided in the ratio of their investments. If the total profit is Rs. 60,000, find C's share.
31. A and B can do a work in 12 days and 18 days respectively. They start working together, but B leaves after 4 days. In how many days will A complete the remaining work?
32. A car travels the first part of a journey at 30 km/hr and the second part at 70 km/hr. If the total time taken is 5 hours and the total distance is 250 km, find the time taken for the first part.
33. The average marks of 10 students is 75. If the marks of one student is wrongly recorded as 60 instead of 90, what is the correct average?
34. The average of 6 numbers is 20. If one number is added, the average becomes 22. What is the added number?
35. A and B start a partnership. A invests Rs. 50,000 and B invests Rs. 70,000. A leaves the business after 8 months. In what ratio should the profit be divided at the end of the year?
36. A can complete a work in 9 days. B can do it in 15 days. They work together for 5 days. The remaining work will be completed by A alone in how many days?
37. A man travels from city A to city B at a speed of 40 km/hr and returns from city B to city A at a speed of 60 km/hr. What is the average speed for the entire journey?
38. The average weight of 25 boys in a class is 52 kg. If the weight of the class teacher is included, the average weight increases by 1 kg. What is the weight of the teacher?
39. The average of 10 numbers is 35. If the largest number is removed, the average becomes 32. What is the value of the largest number?
40. A and B are partners in a business. A invests Rs. 40,000 for 1 year and B invests Rs. 60,000 for 8 months. If the total profit is Rs. 24,000, A's share is:
41. A can do a work in 18 days. B can do the same work in 15 days. B worked alone for 10 days. In how many days can A finish the remaining work?
42. A, B, and C can complete a work in 12 days, 15 days, and 10 days respectively. If they all work together, how many days will it take to complete the work?
43. A can do a piece of work in 20 days and B can do it in 30 days. They work together for 5 days. How much of the work is left?
44. A and B can complete a work in 10 days and 15 days respectively. In how many days will they complete the work together?
45. A train travels at an average speed of 60 km/hr for the first 150 km, and then at an average speed of 80 km/hr for the next 150 km. What is the average speed of the train for the entire journey?
46. The average age of a class of 30 students is 15 years. If the teacher's age is included, the average age increases by 1 year. What is the age of the teacher?
47. The average of 8 numbers is 42. If two numbers, 48 and 52, are removed, what is the average of the remaining numbers?
48. The average of 5 numbers is 27. If one number is excluded, the average becomes 25. What is the excluded number?
49. A and B enter into a partnership. A invests Rs. 10,000 and B invests Rs. 15,000. After how many months should C join with an investment of Rs. 20,000, if C's share of profit is to be equal to A's share out of a total profit of Rs. 45,000 for one year?
50. Ram and Shyam enter into a partnership. Ram invests Rs. 50,000 for 6 months and Shyam invests Rs. 60,000 for 4 months. If the total profit is Rs. 48,000, find the share of Ram.