Civil Services Examination - Basic numeracy: ratio proportion profit and loss time and work Online Test (MCQ Quiz)

1. If the ratio of two numbers is 3:5 and their sum is 80, what are the numbers?

A) 20 and 60 B) 25 and 55 C) 30 and 50 D) 15 and 65

2. A profit of 15% is made by selling an article for Rs. 460. What is the cost price of the article?

A) Rs. 350 B) Rs. 380 C) Rs. 400 D) Rs. 420

3. 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?

A) 5 days B) 6 days C) 7 days D) 8 days

4. What is 25% of 200?

A) 40 B) 50 C) 60 D) 75

5. 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?

A) 10 B) 12 C) 14 D) 16

6. A shopkeeper buys a book for Rs. 150 and sells it for Rs. 180. What is his profit percentage?

A) 10% B) 15% C) 20% D) 25%

7. 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?

A) 10 days B) 12 days C) 15 days D) 18 days

8. If a number is increased by 20%, it becomes 120. What is the original number?

A) 90 B) 96 C) 100 D) 110

9. The ratio of income to expenditure of a person is 7:5. If he saves Rs. 2000 per month, what is his monthly income?

A) Rs. 7000 B) Rs. 8000 C) Rs. 9000 D) Rs. 10000

10. A man sells a chair for Rs. 500 and makes a loss of 10%. What is the cost price of the chair?

A) Rs. 500 B) Rs. 550 C) Rs. 555.56 D) Rs. 600

11. 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?

A) 6 days B) 8 days C) 10 days D) 12 days

12. What is 150% of 80?

A) 100 B) 110 C) 120 D) 130

13. The ratio of two numbers is 2:3. If 5 is added to both numbers, the ratio becomes 5:7. Find the numbers.

A) 10 and 15 B) 20 and 30 C) 25 and 35 D) 30 and 45

14. The cost price of 10 articles is equal to the selling price of 8 articles. Find the profit percentage.

A) 15% B) 20% C) 25% D) 30%

15. 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?

A) 5 days B) 6 days C) 7 days D) 8 days

16. If a number is decreased by 10%, it becomes 90. What is the original number?

A) 90 B) 95 C) 100 D) 110

17. 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.

A) 200 B) 240 C) 300 D) 400

18. 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?

A) Rs. 300 B) Rs. 350 C) Rs. 400 D) Rs. 450

19. 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?

A) 4 days B) 5 days C) 6 days D) 7 days

20. What is 0.5% of 1000?

A) 0.5 B) 1 C) 5 D) 10

21. 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.

A) 25 and 40 B) 30 and 48 C) 35 and 56 D) 40 and 64

22. By selling 120 items, a vendor gains the cost price of 30 items. What is the profit percentage?

A) 20% B) 25% C) 30% D) 35%

23. 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?

A) 20 days B) 25 days C) 30 days D) 40 days

24. If 15% of a number is 75, what is 30% of that number?

A) 150 B) 160 C) 175 D) 180

25. The ratio of apples to oranges in a basket is 5:3. If there are 24 fruits in total, how many apples are there?

A) 10 B) 15 C) 20 D) 25

26. 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?

A) 8% B) 10% C) 12% D) 15%

27. 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?

A) 4 days B) 5 days C) 6 days D) 7 days

28. If 40% of a number is 200, what is 60% of that number?

A) 250 B) 300 C) 350 D) 400

29. 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?

A) 15 years B) 20 years C) 25 years D) 30 years

30. 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?

A) Rs. 550 B) Rs. 600 C) Rs. 625 D) Rs. 650

31. 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?

A) 10 days B) 12 days C) 14 days D) 16 days

32. What is 3/5 of 200?

A) 100 B) 120 C) 150 D) 160

33. The ratio of two numbers is 3:4. If both numbers are increased by 5, their ratio becomes 4:5. Find the numbers.

A) 10 and 15 B) 15 and 20 C) 20 and 25 D) 25 and 30

34. If a man sells 20 pens for Rs. 150, he gains Rs. 25. What is his profit percentage?

A) 15% B) 20% C) 25% D) 30%

35. 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?

A) 4 days B) 5 days C) 6 days D) 7 days

36. If 60% of a number is 180, what is 80% of that number?

A) 220 B) 240 C) 260 D) 280

37. 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?

A) 10 liters B) 15 liters C) 20 liters D) 25 liters

38. A dealer sells an article for Rs. 750 at a loss of 25%. For what price should he sell it to gain 25%?

A) Rs. 900 B) Rs. 1000 C) Rs. 1125 D) Rs. 1200

39. 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?

A) 5 days B) 6 days C) 7 days D) 8 days

40. If 20% of a number is 80, what is 50% of that number?

A) 150 B) 180 C) 200 D) 220

41. The ratio of two numbers is 7:11. If 7 is added to each number, the ratio becomes 2:3. Find the numbers.

A) 21 and 33 B) 28 and 44 C) 35 and 55 D) 42 and 66

42. 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?

A) Rs. 150 B) Rs. 175 C) Rs. 200 D) Rs. 225

43. 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?

A) 5 days B) 6 days C) 7 days D) 8 days

44. 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?

A) 10% B) 15% C) 16.67% D) 20%

45. 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?

A) 25 years B) 30 years C) 35 years D) 40 years

46. 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?

A) 1% loss B) 1% profit C) 2% loss D) 2% profit

47. 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?

A) 10 days B) 12 days C) 14 days D) 16 days

48. If a number is increased by 25% and then decreased by 20%, what is the net percentage change?

A) 2% decrease B) 2% increase C) 4% decrease D) 4% increase

49. The ratio of two numbers is 3:5. If 9 is subtracted from each number, the ratio becomes 12:23. Find the numbers.

A) 27 and 45 B) 36 and 60 C) 45 and 75 D) 54 and 90

50. 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?

A) 4% loss B) 4% profit C) 5% loss D) No profit, no loss

Basic numeracy: ratio proportion profit and loss time and work - Online Test

Test Results