Profit and Loss, Time and Work, Time Speed and Distance - Question Bank

1. A shopkeeper buys 11 articles for Rs. 100. He sells 10 articles for Rs. 110. His profit percentage is:
A) 10%
B) 21%
C) 20%
D) 11%
2. A train 100 meters long is running at 70 km/hr. In what time will it pass a man who is running at 8 km/hr in the same direction?
A) 10 seconds
B) 12 seconds
C) 15 seconds
D) 18 seconds
3. A person travels a distance of 60 km in 5 hours. If he covers the first two-thirds of the distance in three-fifths of the total time, what is his speed during the remaining journey?
A) 15 km/hr
B) 20 km/hr
C) 24 km/hr
D) 30 km/hr
4. A train travelling at 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A) 100 meters
B) 150 meters
C) 200 meters
D) 250 meters
5. A and B can complete a piece of work in 15 days and 10 days respectively. They start working together, but B leaves after 5 days. In how many days will A complete the remaining work?
A) 5 days
B) 6 days
C) 7 days
D) 8 days
6. A can do a work in 4 days. B can do the same work in 6 days. If they work together, how many days will it take to complete the work?
A) 2 days
B) 2.4 days
C) 3 days
D) 3.5 days
7. A shopkeeper marks his goods 50% above the cost price. He then gives a discount of 20% on the marked price. His profit percentage is:
A) 10%
B) 20%
C) 30%
D) 15%
8. If the selling price of 10 pens is equal to the cost price of 12 pens, then the profit percentage is:
A) 15%
B) 20%
C) 25%
D) 10%
9. A trader buys a dozen pens at Rs. 60 per dozen. He sells 8 pens at Rs. 7 each and the remaining 4 pens at Rs. 5 each. His profit percentage is:
A) 15%
B) 20%
C) 25%
D) 30%
10. A shopkeeper sells two items at Rs. 1000 each. On one, he gains 20% and on the other, he loses 20%. What is his overall profit or loss percentage?
A) 4% loss
B) 4% profit
C) 2% loss
D) 2% profit
11. A train travelling at 54 km/hr crosses a bridge in 20 seconds. If the length of the train is 200 meters, what is the length of the bridge?
A) 300 meters
B) 350 meters
C) 400 meters
D) 450 meters
12. A person travels from city X to city Y at 40 km/hr and returns from Y to X at 60 km/hr. If the total time taken is 5 hours, what is the distance between city X and city Y?
A) 100 km
B) 120 km
C) 150 km
D) 140 km
13. A train travelling at 45 km/hr crosses a signal pole in 18 seconds. What is the length of the train?
A) 200 meters
B) 225 meters
C) 250 meters
D) 275 meters
14. If a train travels at 72 km/hr, what is its speed in meters per second?
A) 15 m/s
B) 20 m/s
C) 25 m/s
D) 30 m/s
15. A, B, and C can complete a work in 10, 12, and 15 days respectively. They start working together. After 2 days, C leaves. In how many days will A and B complete the remaining work?
A) 4 days
B) 5 days
C) 6 days
D) 7 days
16. A can complete a work in 9 days. B can do it in 15 days. If they work together, how many days will it take to complete 40% of the work?
A) 3 days
B) 3.75 days
C) 4 days
D) 4.5 days
17. A and B can do a piece of work in 12 days and 18 days respectively. They start working together, but A leaves 3 days before the completion of the work. In how many days is the work completed?
A) 8.4 days
B) 9 days
C) 10 days
D) 7.2 days
18. A shopkeeper offers a discount of 10% on the marked price of an item. To make a profit of 20%, by what percentage must he mark the price above the cost price?
A) 33.33%
B) 30%
C) 35%
D) 40%
19. If the selling price of 15 items is equal to the cost price of 20 items, then the profit percentage is:
A) 33.33%
B) 25%
C) 20%
D) 30%
20. A merchant buys 20 kg of sugar at Rs. 15 per kg. He sells 12 kg at Rs. 18 per kg and the remaining 8 kg at Rs. 13 per kg. Find his profit percentage.
A) 5%
B) 6%
C) 7.5%
D) 8%
21. A shopkeeper sells an article for Rs. 720 and makes a profit of 20%. He sells another article for Rs. 960 and makes a loss of 4%. What is his overall profit or loss percentage?
A) Profit of 5%
B) Loss of 5%
C) Profit of 7.5%
D) No profit, no loss
22. A person walks 1 km in 10 minutes. How many kilometers will he walk in 50 minutes?
A) 4 km
B) 5 km
C) 6 km
D) 7 km
23. Two trains are running in opposite directions at speeds of 50 km/hr and 40 km/hr. If the length of the first train is 200 meters and the second train is 150 meters, in how much time will they cross each other?
A) 15.64 seconds
B) 16.36 seconds
C) 14.4 seconds
D) 18 seconds
24. A car covers a distance of 50 km in 2 hours. How much time will it take to cover 125 km at the same speed?
A) 4 hours
B) 5 hours
C) 4.5 hours
D) 6 hours
25. A train passes a man standing on a platform in 10 seconds and passes the platform in 30 seconds. If the length of the platform is 200 meters, find the speed of the train.
A) 10 m/s
B) 12 m/s
C) 15 m/s
D) 8 m/s
26. A person travels from point A to point B at a speed of 40 km/hr and returns from point B to point A at a speed of 60 km/hr. What is the average speed for the entire journey?
A) 48 km/hr
B) 50 km/hr
C) 52 km/hr
D) 45 km/hr
27. A train crosses a platform in 30 seconds. If the length of the train is 150 meters and the length of the platform is 250 meters, what is the speed of the train?
A) 20 m/s
B) 15 m/s
C) 25 m/s
D) 30 m/s
28. Two trains of lengths 100 meters and 150 meters are running on parallel tracks at speeds of 40 km/hr and 50 km/hr respectively. In how much time will they pass each other if they are running in the same direction?
A) 54 seconds
B) 45 seconds
C) 60 seconds
D) 36 seconds
29. A car travels a distance of 300 km in 4 hours. What is its average speed?
A) 70 km/hr
B) 75 km/hr
C) 80 km/hr
D) 65 km/hr
30. A man walks at a speed of 5 km/hr. How much distance will he cover in 1 hour and 30 minutes?
A) 7.5 km
B) 6.5 km
C) 8 km
D) 7 km
31. A train travels at a speed of 60 km/hr. How many hours will it take to cover a distance of 150 km?
A) 2 hours
B) 2.5 hours
C) 3 hours
D) 1.5 hours
32. A, B, and C can finish a work in 12, 18, and 15 days respectively. If they work together, how long will it take to finish the work?
A) 4 days
B) 5 days
C) 6 days
D) 4.5 days
33. A and B together can complete a work in 10 days. A alone can complete the same work in 15 days. In how many days can B alone complete the work?
A) 25 days
B) 30 days
C) 20 days
D) 15 days
34. A can do a piece of work in 30 days. B can do it in 45 days. They work together for 10 days. The remaining work will be completed by B in how many days?
A) 20 days
B) 25 days
C) 30 days
D) 35 days
35. A and B can complete a work in 6 days and 8 days respectively. They start working together, but B leaves after 3 days. How many days will A take to complete the remaining work?
A) 3 days
B) 4 days
C) 5 days
D) 6 days
36. If 10 men can do a work in 20 days, then 20 men can do the same work in how many days?
A) 10 days
B) 15 days
C) 5 days
D) 20 days
37. A can do a piece of work in 8 days and B can do it in 16 days. They work together for 4 days. The remaining work is completed by A in how many days?
A) 2 days
B) 3 days
C) 4 days
D) 5 days
38. Ram can complete a work in 10 days. Shyam can complete the same work in 20 days. They work together for 5 days. The remaining work will be completed by Ram in how many days?
A) 2 days
B) 3 days
C) 4 days
D) 5 days
39. A, B, and C can complete a work in 12 days, 18 days, and 36 days respectively. They start working together. After 2 days, A leaves. B and C continue for 4 more days, and then B leaves. In how many days will C finish the remaining work?
A) 10 days
B) 12 days
C) 15 days
D) 20 days
40. P can do a piece of work in 20 days and Q can do the same work in 30 days. They start working together, but P leaves after 10 days. In how many more days will Q finish the work?
A) 10 days
B) 15 days
C) 20 days
D) 5 days
41. A and B can complete a piece of work in 10 days and 15 days respectively. In how many days can they together complete the same work?
A) 5 days
B) 6 days
C) 8 days
D) 12 days
42. A shopkeeper allows a discount of 10% on the marked price. If he still makes a profit of 20%, by what percentage is the marked price above the cost price?
A) 33.33%
B) 30%
C) 35%
D) 40%
43. By selling 120 notebooks, a seller gains the cost price of 30 notebooks. The gain percentage is:
A) 20%
B) 25%
C) 30%
D) 15%
44. A trader buys 15 kg of rice at Rs. 10 per kg. He sells 10 kg at Rs. 12 per kg and the remaining 5 kg at Rs. 8 per kg. His profit or loss percentage is:
A) Profit of 6.67%
B) Loss of 6.67%
C) Profit of 5%
D) No profit, no loss
45. If a shopkeeper sells an article for Rs. 240 and makes a profit of 20%, the cost price of the article is:
A) Rs. 200
B) Rs. 220
C) Rs. 180
D) Rs. 190
46. A tradesman marks his goods at 20% above the cost price and sells them at a discount of 10% on the marked price. What is the profit percentage?
A) 8%
B) 10%
C) 12%
D) 6%
47. The cost price of 10 articles is equal to the selling price of 8 articles. The profit percentage is:
A) 20%
B) 25%
C) 30%
D) 15%
48. A shopkeeper marks up the price of a product by 40% and then offers a discount of 20%. What is his net profit percentage?
A) 12%
B) 20%
C) 15%
D) 24%
49. A man buys an item for Rs. 500 and sells it at a loss of 10%. What is the selling price?
A) Rs. 450
B) Rs. 400
C) Rs. 550
D) Rs. 475
50. If the cost price of an article is 80% of its selling price, then the profit percentage is:
A) 20%
B) 25%
C) 30%
D) 15%
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