Unit 2 - Practice Quiz

1 What is the fractional equivalent of ?

2 Which of the following represents the fraction as a percentage?

3 If a value undergoes two successive percentage increases of and , which formula gives the net percentage change?

4 A number is increased by and then decreased by . What is the net percentage effect on the number?

5 A student needs marks to pass an examination. If the maximum marks are $500$, how many marks are required to pass?

6 In an exam, of the students passed. If $40$ students failed, what is the total number of students?

7 In an election between two candidates, the winner gets of the valid votes. What percentage of the valid votes does the losing candidate receive?

8 If of the total $1000$ votes cast in an election were declared invalid, how many valid votes were there?

9 If a student mistakenly measures a line as instead of its true length of , what is the absolute error in the measurement?

10 Which of the following is the correct formula for calculating percentage error?

11 Which term describes the price at which a shopkeeper purchases an article?

12 What is the financial outcome when the Selling Price (SP) of an article is strictly greater than its Cost Price (CP)?

13 A discount is always calculated on which of the following prices?

14 A single discount equivalent to two successive discounts of and is given by which formula?

15 What is the single equivalent discount for two successive discounts of and ?

16 If the Cost Price (CP) of $10$ items is equal to the Selling Price (SP) of $10$ items, what is the profit or loss percentage?

17 A vendor buys $5$ notebooks for and sells the same $5$ notebooks for . What is his total profit in dollars?

18 A dishonest dealer professes to sell his goods at cost price but uses a weight of instead of a standard (). What is the dishonest gain in weight per kg?

19 When a dishonest seller uses a false weight to sell goods at Cost Price, his profit percentage is calculated on which value?

20 What is the percentage equivalent of the fraction ?

21 If of a number is added to itself, the result becomes 4956. Find the original number.

22 If of a number is subtracted from itself, the result becomes 5648. Find the original number.

23 The population of a town increases by in the first year and decreases by in the second year. If the present population is 17600, what was the population two years ago?

24 The price of an article is first increased by and then decreased by . Find the net percentage change in its price.

25 In an examination, a student who gets of the maximum marks fails by 5 marks. Another student who scores gets 20 marks more than the pass mark. Find the maximum marks of the examination.

26 A student has to secure marks to pass an examination. He gets 178 marks and fails by 22 marks. What are the maximum marks?

27 In an election between two candidates, the winning candidate got of the valid votes. of the total votes were declared invalid. If the total number of votes was 7500, how many valid votes did the losing candidate receive?

28 Two candidates fought an election. of the voters did not cast their vote. The successful candidate got of the total votes cast and won by a majority of 1530 votes. Find the total number of votes cast.

29 A student multiplied a number by instead of . What is the percentage error in the calculation?

30 Fresh fruit contains water and dry fruit contains water. How much dry fruit can be obtained from 100 kg of fresh fruits?

31 By selling an article for Rs. 270, a merchant incurs a loss of . At what price should he sell it to make a profit of ?

32 A trader marks his goods above the cost price and allows a discount of . Find his profit percentage.

33 The ratio of the cost price and selling price of an article is . What is the profit percentage?

34 What is the single discount equivalent to two successive discounts of and ?

35 A shopkeeper offers successive discounts of , , and on an article. What is the net discount percentage?

36 The marked price of a watch is Rs. 1600. After two successive discounts, it is sold for Rs. 1224. If the first discount is , find the second discount rate.

37 A dishonest dealer professes to sell his goods at cost price, but he uses a faulty weight of 900 grams for a 1 kg weight. Find his gain percentage.

38 The cost price of 15 articles is equal to the selling price of 12 articles. Find the profit percentage.

39 A vendor bought lemons at 6 for a rupee and sold them at 4 for a rupee. What is his gain percentage?

40 A dishonest seller marks his goods at above the cost price and gives a discount of . Additionally, he weighs 800 grams instead of 1 kg. Find his overall profit percentage.

41 If of equals of , and is more than , what is the value of ?

42 If is less than , and is more than , by what percentage is less than ?

43 The price of an industrial machine depreciates by each year. If after 3 years, its value is exactly of its original value, what is the value of ?

44 The length of a cuboid is increased by , its breadth is decreased by , and its height is increased by . If the total volume remains unchanged, what is the value of ?

45 In an examination, students failed in Math, failed in English, and failed in both subjects. If 450 students passed in both subjects, and of those who failed in exactly one subject are girls, how many boys failed in exactly one subject?

46 In a competitive exam, Student A gets marks and fails by 58 marks. Student B gets marks and scores 33 marks more than the minimum passing marks. What is the passing percentage? (Approximate to two decimal places)

47 In an election between two candidates, of the voters did not cast their votes. Out of the cast votes, 600 votes were declared invalid. The winner secured of the valid votes and won by 1500 votes. Find the total number of voters on the voting list.

48 In an election involving three candidates A, B, and C, of the total votes were invalid. Candidate A got of the valid votes. Candidate B got of the total votes. Candidate C secured the remaining 12000 valid votes. Find the total number of votes polled.

49 A man's total income is Rs. 84,000. He spends of his income on food, of the remaining on rent, and of the new remaining balance on investments. What is his final savings amount?

50 An individual pays tax on the first Rs. 2,00,000 of his income, on the next Rs. 3,00,000, and on the remaining income. If his overall effective tax rate is , what is his total income?

51 A student calculates the volume of a cylinder using . He mistakenly measures the radius more and the height less. What is the exact percentage error in the calculated volume?

52 In calculating the kinetic energy , the mass is measured with a positive error of and the velocity with a negative error of . What is the exact percentage error in the calculated kinetic energy?

53 A shopkeeper marks his goods at above the cost price and allows a discount of . If he makes a profit of , what is the value of ?

54 A retailer offers a scheme "Buy 3, Get 2 Free" and additionally gives a discount of . If he still makes a net profit of , find the ratio of the Cost Price (CP) to the Marked Price (MP) of a single article.

55 An article is marked at Rs. 5000. Three successive discounts of , , and are offered. If the final selling price is Rs. 3024, what is the value of ?

56 A shopkeeper gives successive discounts of on an article. If the equivalent single discount is exactly , what is the value of ?

57 A person buys oranges at 5 for Rs. 2 and an equal number of oranges at 4 for Rs. 3. He mixes them and sells them at 9 for Rs. 5. What is his approximate profit or loss percentage?

58 By selling 36 oranges, a vendor suffers a loss equal to the selling price of 4 oranges. If he wishes to gain , how many oranges should he sell for an amount equal to the cost price of 40 oranges?

59 A dishonest dealer cheats to the extent of while buying as well as while selling by using false weights. He claims to sell at the cost price. What is his actual profit percentage?

60 A milkman marks up the price of milk by . He also adds water (freely available) to the pure milk and uses a faulty measure which dispenses 800 ml for every claimed 1 Liter. What is his net profit percentage?