MCQ
Numerical: Percentage MCQ - Practice Questions with Answers
Solve 17 Numerical: Percentage questions for RAS/RPSC preparation.
Practice questions
Q1A quantity increases from 500 to 575. What is the percentage increase?
Percentage increase is calculated on the original value, not on the new value. Here the original value is 500 and the new value is 575, so the actual increase is 575 − 500 = 75. Now percentage increase = increase/original value × 100 = 75/500 × 100. Since 75/500 = 0.15, multiplying by 100 gives 15%. Therefore, the quantity has increased by 15%.
Q2In a group of 500 students, 60% are boys. Which statement is incorrect?
First find the number of boys. Since 60% of 500 = (60 × 500) ÷ 100 = 300, there are 300 boys. Therefore, girls = 500 − 300 = 200. Now 25% of the boys = 25% of 300 = 75, not 125. Also, 40% of girls = 40% of 200 = 80. So the only incorrect statement is that 25% of the boys is 125.
Q3What is 35% of 240?
To find a percentage of a number, multiply the number by the percentage and divide by 100. Here, 35% of 240 = (35 × 240) ÷ 100. First calculate 35 × 240 = 8400. Now divide by 100, so 8400 ÷ 100 = 84. Therefore, 35% of 240 is 84.
Q4Match the percentages in List 1 with their equivalent fractions in List 2. List 1: 1. 25%, 2. 12.5%, 3. 75%. List 2: P. 1/4, Q. 1/8, R. 3/4.
Convert each given percentage into a fraction by dividing the percentage number by 100 and then simplifying the result correctly. For 25%, 25/100 = 1/4, so item 1 matches P. For 12.5%, 12.5/100 = 0.125 = 1/8, so item 2 matches Q. For 75%, 75/100 = 3/4, so item 3 matches R. Therefore, the correct matching is 1-P, 2-Q, 3-R.
Q5A number is first decreased by 20% and then increased by 20%. Which statement is correct?
Take the original number as 100 for easy calculation. After a 20% decrease, the number becomes 100 − 20 = 80. Now a 20% increase is applied on 80, not on 100. So the increase is 20% of 80 = 16, and the final value is 80 + 16 = 96. Compared with the original 100, this is 4 less. Hence, the net change is a 4% decrease.
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More questions
6Match the percentage expressions with their values. List 1: 1. 10% of 450, 2. 12.5% of 320, 3. 75% of 160. List 2: a. 40, b. 45, c. 120.
7The population of a town is 6000. If the number of males increases by 8% and the number of females increases by 10%, the population will become 6500. Find the number of females in the town.
840% of a number is 96. Fill in the blank: the number is ____.
9Out of 2000 employees in an office, 52% are graduates. 60% of the employees are male and 50% of the male employees are graduates. How many female employees are graduates?
10The price of a bag increased from ₹800 to ₹920. The percentage increase is ____.
11Two candidates contested an election. One of them got 65% of the total votes cast and won by 420 votes. What is the total number of votes polled, if no vote is declared invalid?
12A candidate who gets 20% marks fails by 15 marks, but another candidate who gets 42% marks gets 12% of the total marks more than the passing marks. What is the passing mark?
13Rakesh spends 80% of his income. If his income is increased by 14% and his saving decreases by 15%, then what will be the percentage increase in his expenditure?
14If the word “MATHEMATICAL” is spelt with “N” in place of “MA”, then the percentage reduction in the number of letters is:
15For the number 160, consider these statements: 1. 20% of it is 32. 2. 12.5% of it is 20. 3. 25% of it is 45. Which statements are correct?