Unit 2: Percentage and Profit and Loss - Practice Quiz

1 What is of ?

2 is what percent of ?

3 is what percent more than ?

4 Which fraction is equal to ?

5 Which fraction is equal to ?

6 A number is increased by and then increased by another . What is the total percentage increase?

7 A student scores marks out of . What percentage of marks did the student obtain?

8 The pass mark is of . How many marks are required to pass?

9 In an election, a candidate receives of votes. How many votes does the candidate receive?

10 A town has a population of . If it increases by , what is the new population?

11 The actual length is cm, but it is measured as cm. What is the percentage error?

12 The price at which a shopkeeper buys an article is called its:

13 An article has a cost price of and a selling price of . Which statement is correct?

14 An article is bought for and sold for . What is the profit percentage?

15 An article is bought for and sold for . What is the loss percentage?

16 The marked price of a shirt is . What is its selling price after a discount of ?

17 A shopkeeper charges the cost price of kg but gives only g. What is the approximate gain percentage?

18 The cost price of pens equals the selling price of pens. What is the profit percentage?

19 Two articles are sold for each. One is sold at a profit of and the other at a loss of . What is the overall result?

20 An article marked at is sold for . What is the discount percentage?

21 What is of ?

22 A quantity increases from to . By what percentage is the original quantity less than the new quantity?

23 Express as a fraction in its simplest form.

24 The price of an item is increased by and then decreased by . What is the net percentage change?

25 A student scores marks and fails by marks. If the passing percentage is , what is the maximum possible mark?

26 In an election, the winner receives of the total votes and defeats the opponent by votes. How many votes are polled in total?

27 A town has a population of . If it increases by in one year and by in the next year, what is its population after two years?

28 An object is measured as cm instead of its actual length of cm. What is the percentage error?

29 An article is marked above its cost price and sold after allowing a discount of on the marked price. What is the profit percentage?

30 An article bought for is sold for . What is the profit percentage?

31 An article marked at is offered successive discounts of and . What is its selling price?

32 A shopkeeper sells g of an article while claiming to give kg, charging the cost price for kg. What is his gain percentage?

33 A trader buys articles for and sells articles for . What is the profit percentage?

34 Two articles are sold at a common selling price of each. One gives a profit of and the other gives a loss of . What is the overall result?

35 A score of is what percentage more than a score of ?

36 The side of a square is measured as more than its actual value. Approximately what percentage error occurs in the calculated area?

37 A student obtains marks out of a total of . What percentage of marks does the student obtain?

38 In an election, of the votes are invalid. The winner receives of the valid votes, and the loser receives the rest. If the winner's margin is votes, what is the total number of votes polled?

39 A city's population decreases by and then increases by . If its initial population was , what is the final population?

40 An article is sold for after allowing a discount of on its marked price. What is the marked price?

41 If of equals of , and is less than , then is what percentage of ?

42 A's income is more than B's income, A's savings are more than B's savings, and A's expenditure is more than B's expenditure. By how many percentage points does B's saving rate exceed A's saving rate?

43 If of is equal to of , what is the ratio ?

44 A quantity is increased by , then decreased by . By what percentage must the resulting quantity be decreased so that the final value is exactly above the original value?

45 The maximum marks of three papers are in the ratio . A student scores , , and in the respective papers and fails to obtain the required aggregate of by marks. What are the total maximum marks?

46 In a two-candidate election, of registered voters abstained and of the votes cast were invalid. The winner received of the valid votes and won by votes. How many voters were registered?

47 A town's population increases by in the first year and decreases by in the second year. What percentage increase in the third year is required to restore the original population?

48 The measured diameter of a cylinder is greater than its actual diameter, while its measured height is less than its actual height. What is the exact percentage error in the calculated volume?

49 An article is marked above its cost price. Successive discounts of and are allowed. What is the resulting profit percentage?

50 Two articles are sold for the same selling price. One is sold at a profit of and the other at a loss of . What is the overall result?

51 A shopkeeper marks an article above its cost price. After allowing successive discounts of and , the shopkeeper earns a profit of . Find .

52 A trader buys goods at a quoted rate of ₹ per kilogram, but the supplier gives kg for every kilogram billed. The trader sells at below the quoted rate while delivering only kg as one kilogram. What is the trader's profit percentage?

53 The selling price of articles equals the purchase cost of articles. If a commission equal to of gross sales is deducted, what is the net profit percentage on the original purchase cost?

54 Two articles are sold at the same selling price. One is sold at a profit of and the other at a loss of . If the combined transaction results in a loss, what is ?

55 Sixty percent of is more than of . Which statement correctly compares and ?

56 An article marked at ₹ is sold after two successive discounts. The first discount is . After adding tax to the discounted price, the customer pays ₹. What is the second discount?

57 A city's population rises by during a year. At the end of the year, of the resulting population migrates away, leaving residents. What was the population at the beginning of the year?

58 A candidate originally scores of the total marks. After revaluation, the score increases by of the candidate's original score, but the candidate still fails to reach the pass mark by marks. What are the total marks?

59 The measured length of a rectangle is greater than its actual length, while the measured width is less than its actual width. What is the percentage error in its calculated area?

60 An article originally earns a profit after a discount on its marked price. Its cost price later rises by , while the marked price remains unchanged. What discount should now be offered to earn an profit on the new cost price?