Basic numeracy: ratio proportion profit and loss time and work - Question Bank
1. A shopkeeper sells two items for Rs. 1000 each. On one, he gains 20%, and on the other, he loses 20%. What is his overall profit or loss percentage?
2. The ratio of two numbers is 3:5. If 9 is subtracted from each number, the ratio becomes 12:23. Find the numbers.
3. If a number is increased by 25% and then decreased by 20%, what is the net percentage change?
4. A and B can do a work in 30 days and 20 days respectively. They work together for 8 days. The remaining work is completed by A alone in how many days?
5. A merchant buys goods worth Rs. 2000. He sells half of the goods at a profit of 10% and the remaining half at a loss of 10%. What is his overall profit or loss percentage?
6. The ratio of ages of father and son is 5:2. After 5 years, their ages will be in the ratio 10:3. What is the current age of the father?
7. If the price of a commodity increases from Rs. 10 to Rs. 12, by what percentage is the consumption reduced so that the expenditure remains the same?
8. A and B can complete a work in 10 days and 15 days respectively. They work together for 5 days. The remaining work is completed by B alone in how many days?
9. A sells an item to B at a profit of 10%. B sells it to C at a profit of 20%. If C pays Rs. 264 for the item, what was A's cost price?
10. The ratio of two numbers is 7:11. If 7 is added to each number, the ratio becomes 2:3. Find the numbers.
11. If 20% of a number is 80, what is 50% of that number?
12. A can do a work in 18 days. B can do it in 15 days. B worked alone for 5 days and then A joined him. In how many days was the remaining work completed by both together?
13. A dealer sells an article for Rs. 750 at a loss of 25%. For what price should he sell it to gain 25%?
14. The ratio of quantities of milk and water in a mixture is 5:2. If 5 liters of water are added, the ratio becomes 5:3. What was the initial quantity of milk?
15. If 60% of a number is 180, what is 80% of that number?
16. A, B, and C can complete a work in 6, 8, and 12 days respectively. They start working together. A leaves after 2 days. B leaves 3 days before the work is completed. In how many days was the work completed?
17. If a man sells 20 pens for Rs. 150, he gains Rs. 25. What is his profit percentage?
18. The ratio of two numbers is 3:4. If both numbers are increased by 5, their ratio becomes 4:5. Find the numbers.
19. What is 3/5 of 200?
20. A and B can complete a work in 12 days and 16 days respectively. They work together for 4 days. The remaining work is completed by A alone in how many days?
21. A dealer buys a watch for Rs. 450. He marks the price such that he allows a discount of 10% and still gains 20%. What is the marked price?
22. The ratio of ages of A and B is 4:5. After 5 years, the ratio of their ages will be 5:6. What is the current age of A?
23. If 40% of a number is 200, what is 60% of that number?
24. Ram can complete a work in 10 days. Shyam can complete the same work in 15 days. They work together for 4 days. The remaining work is completed by Ram alone in how many days?
25. A shopkeeper marks the price of an item 20% above its cost price and then offers a 10% discount. What is his net profit percentage?
26. The ratio of apples to oranges in a basket is 5:3. If there are 24 fruits in total, how many apples are there?
27. If 15% of a number is 75, what is 30% of that number?
28. A can do a work in 20 days. B can do it in 30 days. They work together for 5 days. C then joins them and the work is completed in 5 more days. In how many days can C alone do the work?
29. By selling 120 items, a vendor gains the cost price of 30 items. What is the profit percentage?
30. The ratio of two numbers is 5:8. If 10 is added to the first number and 5 is subtracted from the second number, the ratio becomes 7:10. Find the numbers.
31. What is 0.5% of 1000?
32. A and B can do a piece of work in 6 days and 8 days respectively. They work together for 3 days. The remaining work will be completed by B alone in how many days?
33. A trader sold an item at a loss of 20%. If he had sold it for Rs. 100 more, he would have gained 5%. What is the cost price of the item?
34. The ratio of girls to boys in a school is 3:5. If the total number of students is 640, find the number of girls.
35. If a number is decreased by 10%, it becomes 90. What is the original number?
36. A, B, and C can complete a work in 10, 12, and 15 days respectively. They start working together. After 2 days, A leaves. B leaves 2 days before the work is completed. In how many days was the work completed?
37. The cost price of 10 articles is equal to the selling price of 8 articles. Find the profit percentage.
38. The ratio of two numbers is 2:3. If 5 is added to both numbers, the ratio becomes 5:7. Find the numbers.
39. What is 150% of 80?
40. A and B can complete a work in 8 days and 12 days respectively. They start working together, but A leaves after 4 days. In how many days will B complete the remaining work?
41. A man sells a chair for Rs. 500 and makes a loss of 10%. What is the cost price of the chair?
42. The ratio of income to expenditure of a person is 7:5. If he saves Rs. 2000 per month, what is his monthly income?
43. If a number is increased by 20%, it becomes 120. What is the original number?
44. P can do a work in 12 days and Q can do it in 18 days. They work together for 6 days. The remaining work will be completed by P alone in how many days?
45. A shopkeeper buys a book for Rs. 150 and sells it for Rs. 180. What is his profit percentage?
46. If the ratio of boys to girls in a class is 4:3 and there are 28 students in total, how many girls are there?
47. What is 25% of 200?
48. A can complete a piece of work in 10 days and B can complete the same work in 15 days. In how many days will they complete the work together?
49. A profit of 15% is made by selling an article for Rs. 460. What is the cost price of the article?
50. If the ratio of two numbers is 3:5 and their sum is 80, what are the numbers?