Percentage MCQs
Practice Percentage MCQs with answers and detailed explanations. Learn percentage calculations, increase and decrease percentages, profit and loss percentages, discounts, percentage change and exam-oriented quantitative aptitude questions designed for SSC, Railway, Banking, UPSC, JKSSB, Police, Teaching and other competitive exams.
Question #101
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A student scored 300 marks out of a total of 400. What is their percentage?
Correct Answer: Option C
Explanation:
Percentage = (300 / 400) * 100% = 75%.
Percentage = (300 / 400) * 100% = 75%.
This question belongs to:
Maths
Percentage
Question #102
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The price of a shirt decreases from Rs. 80 to Rs. 60. What is the percentage decrease in the price?
Correct Answer: Option A
Explanation:
Decrease = 80 - 60 = 20. Percentage decrease = (20 / 80) * 100% = 25%.
Decrease = 80 - 60 = 20. Percentage decrease = (20 / 80) * 100% = 25%.
This question belongs to:
Maths
Percentage
Question #103
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18 is what percentage of 120?
Correct Answer: Option C
Explanation:
(18 / 120) * 100% = (3 / 20) * 100% = 15%.
(18 / 120) * 100% = (3 / 20) * 100% = 15%.
This question belongs to:
Maths
Percentage
Question #104
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If A's salary is 25% more than B's salary, then by what percentage is B's salary less than A's salary?
Correct Answer: Option D
Explanation:
Let B's salary be 100. A's salary = 125. B is 25 less than A. Percentage = (25 / 125) * 100% = 20%.
Let B's salary be 100. A's salary = 125. B is 25 less than A. Percentage = (25 / 125) * 100% = 20%.
This question belongs to:
Maths
Percentage
Question #105
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The population of a town increases by 10% annually. If the current population is 12,100, what was the population two years ago?
Correct Answer: Option A
Explanation:
Let the population two years ago be P. P * (110 / 100) * (110 / 100) = 12100. P * 1.21 = 12100 implies P = 10000.
Let the population two years ago be P. P * (110 / 100) * (110 / 100) = 12100. P * 1.21 = 12100 implies P = 10000.
This question belongs to:
Maths
Percentage
Question #106
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In an election between two candidates, the winning candidate got 60% of the valid votes and won by a majority of 2,400 votes. What was the total number of valid votes?
Correct Answer: Option C
Explanation:
Winner got 60%, loser got 40%. Difference = 20%. 20% of total votes = 2400. Total votes = (2400 * 100) / 20 = 12000.
Winner got 60%, loser got 40%. Difference = 20%. 20% of total votes = 2400. Total votes = (2400 * 100) / 20 = 12000.
This question belongs to:
Maths
Percentage
Question #107
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A man spends 70% of his income. If his income increases by 20% and his expenditure increases by 10%, what is the percentage increase in his savings?
Correct Answer: Option C
Explanation:
Let income = 100, expenditure = 70, savings = 30. New income = 120. New expenditure = 77. New savings = 120 - 77 = 43. Increase in savings = 43 - 30 = 13. Percentage increase = (13 / 30) * 100% = 43.33%.
Let income = 100, expenditure = 70, savings = 30. New income = 120. New expenditure = 77. New savings = 120 - 77 = 43. Increase in savings = 43 - 30 = 13. Percentage increase = (13 / 30) * 100% = 43.33%.
This question belongs to:
Maths
Percentage
Question #108
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The price of sugar increases by 20%. By what percentage should a household reduce its consumption so that the overall expenditure remains the same?
Correct Answer: Option D
Explanation:
Let original price = 100 and consumption = 100. New price = 120. Required consumption for same expenditure = (100 * 100) / 120 = 83.33. Reduction = 100 - 83.33 = 16.67%.
Let original price = 100 and consumption = 100. New price = 120. Required consumption for same expenditure = (100 * 100) / 120 = 83.33. Reduction = 100 - 83.33 = 16.67%.
This question belongs to:
Maths
Percentage
Question #109
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A number is first increased by 20% and then decreased by 20%. What is the net percentage change in the number?
Correct Answer: Option C
Explanation:
Let the number be 100. After 20% increase, it becomes 120. After 20% decrease, it becomes 120 * 0.8 = 96. Net change = 100 - 96 = 4% decrease.
Let the number be 100. After 20% increase, it becomes 120. After 20% decrease, it becomes 120 * 0.8 = 96. Net change = 100 - 96 = 4% decrease.
This question belongs to:
Maths
Percentage
Question #110
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Fresh grapes contain 68% water while dry grapes contain 20% water. How many kilograms of dry grapes can be obtained from 100 kg of fresh grapes?
Correct Answer: Option D
Explanation:
Quantity of pulp in fresh grapes = 100% - 68% = 32%. So, pulp = 32 kg. In dry grapes, pulp is 100% - 20% = 80%. Let dry grapes be D kg. 80% of D = 32 implies D = (32 / 0.8) = 40 kg.
Quantity of pulp in fresh grapes = 100% - 68% = 32%. So, pulp = 32 kg. In dry grapes, pulp is 100% - 20% = 80%. Let dry grapes be D kg. 80% of D = 32 implies D = (32 / 0.8) = 40 kg.
This question belongs to:
Maths
Percentage
Question #111
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If the numerator of a fraction is increased by 200% and the denominator is increased by 300%, the resultant fraction is 15/26. What was the original fraction?
Correct Answer: Option C
Explanation:
Let original fraction be x/y. New numerator = x + 2x = 3x. New denominator = y + 3y = 4y. So, (3x / 4y) = 15/26. x/y = (15 * 4) / (26 * 3) = 60 / 78 = 10/13.
Let original fraction be x/y. New numerator = x + 2x = 3x. New denominator = y + 3y = 4y. So, (3x / 4y) = 15/26. x/y = (15 * 4) / (26 * 3) = 60 / 78 = 10/13.
This question belongs to:
Maths
Percentage
Question #112
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Two numbers are respectively 20% and 50% more than a third number. What is the ratio of the first two numbers?
Correct Answer: Option B
Explanation:
Let the third number be 100. First number = 120. Second number = 150. Ratio = 120:150 = 4:5.
Let the third number be 100. First number = 120. Second number = 150. Ratio = 120:150 = 4:5.
This question belongs to:
Maths
Percentage
Question #113
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In an examination, 40% of the students failed in Mathematics, 30% failed in English, and 10% failed in both subjects. If 144 students passed in both subjects, what is the total number of students who appeared for the examination?
Correct Answer: Option A
Explanation:
Total failed percentage = Failed in Math + Failed in English - Failed in Both = 40% + 30% - 10% = 60%. Total passed = 100% - 60% = 40%. 40% of total students = 144. Total students = (144 * 100) / 40 = 360.
Total failed percentage = Failed in Math + Failed in English - Failed in Both = 40% + 30% - 10% = 60%. Total passed = 100% - 60% = 40%. 40% of total students = 144. Total students = (144 * 100) / 40 = 360.
This question belongs to:
Maths
Percentage
Question #114
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A salesman receives a commission of 12% on all sales and a bonus of 1% on sales exceeding Rs. 15,000. If his total earnings are Rs. 7,650, what are his total sales?
Correct Answer: Option C
Explanation:
Let total sales be x. Commission = 0.12x. Bonus = 0.01(x - 15000) for x > 15000. Total = 0.12x + 0.01x - 150 = 7650 implies 0.13x = 7800. Therefore, x = 60000.
Let total sales be x. Commission = 0.12x. Bonus = 0.01(x - 15000) for x > 15000. Total = 0.12x + 0.01x - 150 = 7650 implies 0.13x = 7800. Therefore, x = 60000.
This question belongs to:
Maths
Percentage
Question #115
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The price of a rare artifact was increased by r%. Later, the new price was decreased by r%. If the final price of the artifact is Rs. 1, what was its original price in Rs.?
Correct Answer: Option D
Explanation:
Let original price be P. P * (1 + r/100) * (1 - r/100) = 1. P * (1 - r^2/10000) = 1. P * ((10000 - r^2) / 10000) = 1. P = 10000 / (10000 - r^2).
Let original price be P. P * (1 + r/100) * (1 - r/100) = 1. P * (1 - r^2/10000) = 1. P * ((10000 - r^2) / 10000) = 1. P = 10000 / (10000 - r^2).
This question belongs to:
Maths
Percentage
Question #116
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In a class consisting of 60 students and 5 teachers, each student receives sweets equal to 20% of the total number of students, and each teacher receives sweets equal to 30% of the total number of students. How many sweets were distributed in total?
Correct Answer: Option C
Explanation:
Sweets per student = 20% of 60 = 12. Sweets per teacher = 30% of 60 = 18. Total sweets = (60 * 12) + (5 * 18) = 720 + 90 = 810.
Sweets per student = 20% of 60 = 12. Sweets per teacher = 30% of 60 = 18. Total sweets = (60 * 12) + (5 * 18) = 720 + 90 = 810.
This question belongs to:
Maths
Percentage
Question #117
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If 15% of a number is 75, the number is:
Correct Answer: Option C
Explanation:
Let the number be x. 15% of x = 75 → 0.15x = 75 → x = 75 / 0.15 = 500.
Let the number be x. 15% of x = 75 → 0.15x = 75 → x = 75 / 0.15 = 500.
This question belongs to:
Maths
Percentage
Question #119
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A student scored 72 marks out of 120. What is his percentage?
Correct Answer: Option D
Explanation:
Percentage = (72/120) × 100 = 60%.
Percentage = (72/120) × 100 = 60%.
This question belongs to:
Maths
Percentage
Question #120
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20% of 50 + 30% of 60 equals:
Correct Answer: Option A
Explanation:
20% of 50 = 10, 30% of 60 = 18, sum = 28.
20% of 50 = 10, 30% of 60 = 18, sum = 28.
This question belongs to:
Maths
Percentage
