Average, Profit and Loss - Question Bank

1. Two products are sold for Rs. 1500 each. On one, there is a profit of 25% and on the other, there is a loss of 20%. What is the overall profit or loss percentage?
A) 2.5% loss
B) 2.5% profit
C) 5% loss
D) 5% profit
2. A shopkeeper bought a pen for Rs. 100. He marked it up by 30% and then gave a discount of 10%. What is the selling price?
A) Rs. 117
B) Rs. 119
C) Rs. 121
D) Rs. 123
3. The average marks of 5 subjects for a student is 70. If the marks in English are removed, the average of the remaining 4 subjects is 68. The marks in English are:
A) 78
B) 80
C) 82
D) 84
4. A shopkeeper sells a product for Rs. 1200 at a profit of 20%. What is the cost price?
A) Rs. 960
B) Rs. 1000
C) Rs. 1050
D) Rs. 1100
5. The cost price of 12 articles is equal to the selling price of 9 articles. The profit percentage is:
A) 25%
B) 33.33%
C) 40%
D) 50%
6. A shopkeeper marks up the price of his goods by 60% and then offers a discount of 25%. What is the profit percentage?
A) 15%
B) 20%
C) 25%
D) 30%
7. The average of 5 numbers is 20. If the number 20 is removed, the average of the remaining 4 numbers will be:
A) 18
B) 19
C) 20
D) 21
8. A shopkeeper buys 10 kg of apples at Rs. 50 per kg. He sells 6 kg at Rs. 60 per kg and the remaining 4 kg at Rs. 45 per kg. His profit or loss percentage is:
A) 2% profit
B) 2% loss
C) 4% profit
D) 4% loss
9. A shopkeeper sells two items for Rs. 2000 each. On one, he gains 20% and on the other, he loses 20%. What is his overall profit or loss?
A) Rs. 100 loss
B) Rs. 100 profit
C) Rs. 200 loss
D) Rs. 200 profit
10. The average of 4 numbers is 15. If the sum of the first 3 numbers is 40, what is the fourth number?
A) 10
B) 15
C) 20
D) 25
11. The average age of a father and son is 40 years. The ratio of their ages is 7:2. The age of the father is:
A) 56 years
B) 58 years
C) 60 years
D) 62 years
12. A merchant claims that he sells his goods at a cost price, but he uses a weight of 900 grams for a kilogram. His profit percentage is:
A) 10%
B) 11.11%
C) 12.5%
D) 15%
13. The cost price of 20 articles is equal to the selling price of 15 articles. The profit percentage is:
A) 25%
B) 33.33%
C) 40%
D) 50%
14. A shopkeeper sells an article for Rs. 500 and makes a profit of 25%. He then sells another article for Rs. 400 and makes a loss of 20%. What is his overall profit or loss percentage?
A) 5% profit
B) 5% loss
C) 10% profit
D) 10% loss
15. The average of 5 numbers is 25. If the numbers are increased by 3, what will be the new average?
A) 25
B) 27
C) 28
D) 31
16. The average of 3 numbers is 30. The first number is twice the second, and the third number is three times the second. The third number is:
A) 15
B) 30
C) 45
D) 60
17. A man buys a cycle for Rs. 3000 and sells it at a 20% profit. He then buys another cycle for Rs. 4000 and sells it at a 10% loss. What is his overall profit percentage?
A) 5%
B) 6%
C) 7%
D) 8%
18. A shopkeeper buys 15 items for Rs. 10 each. He sells 10 of them at Rs. 12 each and the remaining 5 at Rs. 8 each. His profit or loss percentage is:
A) 4% profit
B) 4% loss
C) 5% profit
D) 5% loss
19. The average marks of 25 students is 60. If the marks of one student is 80, and it is removed, the average of the remaining 24 students is:
A) 58.75
B) 59.17
C) 59.58
D) 60.42
20. The average of 5 numbers is 18. If one number is removed, the average of the remaining numbers is 16. The removed number is:
A) 26
B) 28
C) 30
D) 32
21. The average age of a group of 10 students is 15 years. If the age of their teacher is included, the average age increases by 2 years. The age of the teacher is:
A) 35 years
B) 37 years
C) 39 years
D) 41 years
22. A shopkeeper sells a book at a profit of 10%. If he had sold it for Rs. 50 more, he would have gained 15%. The cost price of the book is:
A) Rs. 800
B) Rs. 900
C) Rs. 1000
D) Rs. 1100
23. Two articles are sold for Rs. 5000 each. On one, there is a profit of 25% and on the other, there is a loss of 20%. What is the overall profit or loss percentage?
A) 2.5% loss
B) 2.5% profit
C) 5% loss
D) 5% profit
24. A dealer buys a table for Rs. 5000 and sells it at a loss of 15%. He also buys a chair for Rs. 3000 and sells it at a profit of 10%. What is the overall profit or loss?
A) Rs. 150 loss
B) Rs. 150 profit
C) Rs. 300 loss
D) Rs. 300 profit
25. By selling 100 pencils, a shopkeeper gains the cost price of 20 pencils. His gain percentage is:
A) 16.67%
B) 20%
C) 25%
D) 33.33%
26. A shopkeeper marks the price of an item 50% higher than its cost price. He then gives a discount of 20%. What is the profit percentage?
A) 10%
B) 20%
C) 30%
D) 40%
27. The average marks of 20 students in a class is 75. If the marks of one student, who scored 95, is wrongly entered as 75, then the correct average marks of the class is:
A) 75.5
B) 76
C) 76.5
D) 77
28. The average of 5 numbers is 50. If two numbers, 40 and 60, are removed, what is the average of the remaining 3 numbers?
A) 50
B) 55
C) 60
D) 65
29. The average temperature of the first 4 days of a week was 37°C. The average temperature of the first 5 days was 36°C. The temperature on the 5th day was:
A) 32°C
B) 33°C
C) 34°C
D) 35°C
30. The average of 5 numbers is X. If one number is removed, the average of the remaining 4 numbers is Y. The removed number is:
A) 5X - 4Y
B) 4Y - 5X
C) 5X + 4Y
D) 4Y + 5X
31. The average of 11 numbers is 10. If one number is removed, the average of the remaining 10 numbers is 9. The removed number is:
A) 19
B) 20
C) 21
D) 22
32. A merchant buys 12 kg of rice at Rs. 10 per kg and 18 kg of rice at Rs. 12 per kg. He mixes them and sells the mixture at Rs. 15 per kg. His profit percentage is:
A) 15%
B) 18%
C) 20%
D) 22%
33. If a radio is sold at a profit of 10% and then at a loss of 10%, the difference in selling prices is Rs. 21. The cost price of the radio is:
A) Rs. 100
B) Rs. 105
C) Rs. 200
D) Rs. 210
34. A shopkeeper buys a product for Rs. 800 and sells it at a 15% profit. He offers a discount of 10% on the marked price. What is the marked price?
A) Rs. 960
B) Rs. 980
C) Rs. 1000
D) Rs. 1020
35. The cost price of 15 articles is equal to the selling price of 10 articles. The gain percentage is:
A) 25%
B) 40%
C) 50%
D) 60%
36. A trader marks his goods 40% above the cost price and then offers a discount of 20%. What is his profit percentage?
A) 10%
B) 12%
C) 15%
D) 20%
37. The average score of a batsman in 10 innings is 40 runs. How many runs must he score in the 11th inning so that his average score becomes 45 runs?
A) 95 runs
B) 100 runs
C) 105 runs
D) 110 runs
38. The average of 7 numbers is 15. If the sum of the first 4 numbers is 50, then the average of the last 3 numbers is:
A) 21.67
B) 25.33
C) 28.00
D) 30.00
39. The average speed of a car is 60 km/hr for the first 2 hours and 50 km/hr for the next 3 hours. The average speed for the entire journey is:
A) 54 km/hr
B) 55 km/hr
C) 56 km/hr
D) 58 km/hr
40. The average of 6 numbers is 20. If one number is removed, the average of the remaining 5 numbers is 18. The removed number is:
A) 28
B) 30
C) 32
D) 34
41. The average age of 5 boys is 12 years. If a new boy joins them, the average age becomes 13 years. The age of the new boy is:
A) 18 years
B) 19 years
C) 20 years
D) 21 years
42. A merchant sells two items for Rs. 10,000 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) No profit, no loss
D) 2% loss
43. By selling an article for Rs. 2400, a shopkeeper makes a profit of 20%. What is the cost price?
A) Rs. 1900
B) Rs. 2000
C) Rs. 2100
D) Rs. 2200
44. A man buys a TV for Rs. 15,000 and sells it at a loss of 10%. What is the selling price?
A) Rs. 13,000
B) Rs. 13,500
C) Rs. 14,000
D) Rs. 14,500
45. A shopkeeper sells an article for Rs. 1000 at a profit of 25%. What is the cost price of the article?
A) Rs. 750
B) Rs. 800
C) Rs. 850
D) Rs. 900
46. A shopkeeper bought a watch for Rs. 450. He marked up the price by 20%. What is the marked price?
A) Rs. 500
B) Rs. 520
C) Rs. 540
D) Rs. 550
47. The average marks of 30 students is 60. The average marks of the first 10 students is 50 and that of the last 10 students is 70. The average marks of the remaining 10 students is:
A) 50
B) 60
C) 70
D) 80
48. The average of 4 numbers is 60. If one number is removed, the average becomes 50. What is the removed number?
A) 90
B) 100
C) 110
D) 120
49. The average of 10 numbers is 30. If one number is added, the average becomes 32. The added number is:
A) 50
B) 52
C) 55
D) 60
50. The average weight of 8 men is increased by 2.5 kg when one of the men, whose weight is 60 kg, is replaced by a new man. The weight of the new man is:
A) 75 kg
B) 80 kg
C) 85 kg
D) 90 kg