Percentage MCQ Quiz - Objective Question with Answer for Percentage - Download Free PDF

Last updated on May 21, 2025

Testbook provides Percentage Question Answers with easy and logical explanations which will help candidates attempting any kind of exams including the UPSC, Defense, bank, state exams as well as high school and graduate exams. A comprehensive list of important and frequently asked Percentage MCQs Quiz have been included so that candidates can prepare to know the type of questions to expect from this section. Start practising the Percentage Objective Questions today to ace your exam!

Latest Percentage MCQ Objective Questions

Percentage Question 1:

Four years ago, the population of a city was 10,000. The annual growth rate of the population during the first two years was 20%. In the third and fourth years, there was a decrease in the population at the rate of 10% and 5%, respectively. What is the current population of the city after four years?

  1. 10500
  2. 14288
  3. 16632
  4. 12312
  5. None of the above

Answer (Detailed Solution Below)

Option 4 : 12312

Percentage Question 1 Detailed Solution

Given:

Population 4 years ago = 10,000

Annual growth rate for the first 2 years = 20%

Decrease rate in the third year = 10%

Decrease rate in the fourth year = 5%

Formula Used:

Population after n years = Initial Population × (1 + growth rate/100)number of years

Calculation:

Population after first year = 10,000 × (1 + 20/100)

⇒ Population after first year = 10,000 × 1.2

⇒ Population after first year = 12,000

Population after second year = 12,000 × (1 + 20/100)

⇒ Population after second year = 12,000 × 1.2

⇒ Population after second year = 14,400

Population after third year = 14,400 × (1 - 10/100)

⇒ Population after third year = 14,400 × 0.9

⇒ Population after third year = 12,960

Population after fourth year = 12,960 × (1 - 5/100)

⇒ Population after fourth year = 12,960 × 0.95

⇒ Population after fourth year = 12,312

The current population of the city after four years is 12,312.

Shortcut Trick Population after fourth year = 10,000 × (1 + 20/100) × (1 + 20/100) × (1 - 10/100) × (1 - 5/100)

⇒ 10,000 × 1.2 × 1.2 × 0.9 × 0.95

⇒ 12,312

Percentage Question 2:

A bulb maker company found that 13% of its total product was poor. If the number of correct products is 5307, then find the number of bad products?

  1. 793
  2. 803
  3. 783
  4. 773 
  5. None of the above

Answer (Detailed Solution Below)

Option 1 : 793

Percentage Question 2 Detailed Solution

Given:

Poor product = 13%

Correct product = 5307

Calculation:

Let, the bad product = y

87% = 5307

1% = 5307 / 87 = 61

Bad product = 13 × 61 = 793

∴ The number of bad products = 793

Percentage Question 3:

In a constituency 25% of the voters restrained from voting. Out of the total votes cast, 2% votes were found to be invaild. The candidates who has won, got 75% of the valid votes, which is 9261. How many voters were there?

  1. 18000
  2. 16800
  3. 16000
  4. 16400
  5. None of the above

Answer (Detailed Solution Below)

Option 2 : 16800

Percentage Question 3 Detailed Solution

Given:

Percentage of voters who restrained from voting = 25%

Percentage of invalid votes = 2%

Percentage of votes won by the candidate = 75%

Votes won by the candidate = 9261

Formula Used:

Total voters = Total votes cast / (1 - Percentage of voters who restrained from voting)

Valid votes = Total votes cast × (1 - Percentage of invalid votes)

Votes won by the candidate = Valid votes × Percentage of votes won by the candidate

Calculation:

Let the total number of voters be V.

Total votes cast = V × (1 - 0.25) = 0.75V

Valid votes = 0.75V × (1 - 0.02) = 0.75V × 0.98 = 0.735V

Votes won by the candidate = 0.735V × 0.75

⇒ 0.735V × 0.75 = 9261

⇒ 0.55125V = 9261

⇒ V = (9261)/(0.55125)

⇒ V = 16800

The total number of voters was 16800.

Percentage Question 4:

The present population of a city is 60000. It grows at the rate of 25 percent every year. What was the population of the city 2 years ago?

  1. 38400
  2. 38040
  3. 41000
  4. 38000
  5. None of the above

Answer (Detailed Solution Below)

Option 1 : 38400

Percentage Question 4 Detailed Solution

Concept used:

In such a question, we apply the compound per cent formula because the population is increasing compounded.

Formula used:

A = P(1 + r/100)n  where A = present population, P = population 2 year ago

R = per cent increase and n = time

60000 = P(1 + 25/100)2

P = 60000 × 4/5 × 4/5

P = 38400

Percentage Question 5:

The total population of a town is 5500. The number of males and females increases by 5% and 10% respectively and resulting population becomes 6000. Find the number of men in the town.

  1. 5500
  2. 2000
  3. 1000
  4. 3500
  5. None of the above

Answer (Detailed Solution Below)

Option 3 : 1000

Percentage Question 5 Detailed Solution

Given:

Initial population of a town is 5500

Final population of a town is 6000

Male population increased by 5%

Female population increased by 10%

Calculation:

Let the number of males = x 

Number of females = (5500 - x)

According to the question,

⇒ Total Final population = Males + Females

⇒ 6000 = (x × 105) /100 + (5500 - x) × 110 /100

⇒ 6,00,000 = 105x  + ( 5500 × 110 - 110x )

⇒ 6,00,000 = 105x +  6,05,000 - 110x

⇒ 6,00,000 = 6,05,000 - 5x

⇒ -5x = - 5000 

⇒ x = 1000

∴ The number of men in the town is 1000.

Shortcut Trick qImage66cddf5eb776464328f6a3bd

Top Percentage MCQ Objective Questions

In an election between two candidates, the winning candidate got 70 percent votes of the valid votes and he won by a majority of 3630 votes. If out of total votes polled 75 percent votes are valid, then what is the total number of votes polled?

  1. 15200
  2. 13000
  3. 16350
  4. 12100

Answer (Detailed Solution Below)

Option 4 : 12100

Percentage Question 6 Detailed Solution

Download Solution PDF

Given:

Valid votes = 75% of total votes

Winning Candidate = 70% of Valid votes

He won by a majority of 3630 votes

Losing Candidate = 30% of Valid votes

Calculation:

Let 100x be the total number of votes polled

Valid votes = 75% of total votes

= 0.75 × 100x

= 75x

Majority of the Winning Candidate is 3630

Then, Difference between Winning and Losing Candidate = (70 % - 30 %) of valid votes

= 40% of the valid votes

Valid Votes = 75x

Then,

= 0.40 × 75x

= 30x

Hence, 30x is Majority of winning candidate

30x = 3630

x = 121

Total number of votes is 100x

= 100 × 121

= 12100

Answer is 12100.

If the price of petrol has increased from Rs. 40 per litre to Rs. 60 per litre, by how much percent a person has to decrease his consumption so that his expenditure remains same.

  1. 66.67%
  2. 40%
  3. 33.33%
  4. 45%
  5. None of these 

Answer (Detailed Solution Below)

Option 3 : 33.33%

Percentage Question 7 Detailed Solution

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GIVEN :

If the price of petrol has increased from Rs. 40 per litre to Rs. 60 per litre

CALCULATION :

Let the consumption be 100 litres.

When price is Rs. 40 per litres, then, the expenditure = 100 × 40

⇒ Rs. 4,000.

At Rs. 60 per litre, the 60 × consumption = 4000

Consumption = 4,000/60 = 66.67 litres.

∴ Required decreased % = 100 - 66.67 = 33.33%

A fruit seller sells 45% of the oranges that he has along with one more orange to a customer. He then sells 20% of the remaining oranges and 2 more oranges to a second customer. He then sells 90% of the now remaining oranges to a third customer and is still left with 5 oranges. How many oranges did the fruit seller have initially?

  1. 121
  2. 111
  3. 100
  4. 120

Answer (Detailed Solution Below)

Option 4 : 120

Percentage Question 8 Detailed Solution

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Calculation:

Let the initial oranges with the fruit seller be x.

1st selling = 0.45x + 1

Remaining = x - (0.45x + 1) = 0.55x - 1

2nd selling = \(1\over 5\) × (0.55x - 1) = 0.11x - 0.2 + 2 = 0.11x + 1.8

Remaining after second selling = 0.55x - 1 - (0.11x + 1.8) = 0.55x - 0.11x - 1 - 1.8 = 0.44x - 2.8

3rd selling = 90% × (0.44x - 2.8)

Remaining after 3rd selling = 0.1 × (0.44x - 2.8) = 0.044x - 0.28

According to the question-

⇒ 0.044x - 0.28 = 5

⇒ 0.044x = 5.28

⇒ x = \(5.28\over 0.044\) = 120

The number of oranges was 120. 

Alternate Method

At last, he sells 90% of the remaining oranges after selling the oranges to a second customer, then he has 10% of the remaining oranges.

10% of the remaining oranges after selling the oranges to the second customer = 5

So remaining oranges after selling the oranges to the second customer = 100% of the remaining oranges after selling the oranges to the second customer = 50 oranges

He gave 2 extra oranges to the second customer, so the remaining oranges = 50 + 2

He sells 20% of the remaining oranges to the second customer, so he has 80% of the remaining oranges = 52

100% of remaining oranges after selling the oranges to the first customer = (52/4) * 5 = 65 oranges

He gave 1 extra orange to the first customer, so the total oranges after selling 45% of the oranges = 65 + 1 = 66 oranges

(100% - 45% = 55%) of total oranges = 66

so

100% of oranges = (66/55) * 100 = 120 oranges

The price of wheat is reduced by 4%. How many more or less kg of wheat can now be bought for the money which was sufficient to buy 48 kg wheat earlier?

  1. 1 kg less
  2. 1 kg more
  3. 2 kg more
  4. 2 kg less
  5. None of these

Answer (Detailed Solution Below)

Option 3 : 2 kg more

Percentage Question 9 Detailed Solution

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GIVEN :

The price of wheat is reduced by 4%.

ASSUMPTION :

Let the price of wheat be Rs.100/kg.

CALCULATION :

The price of 48 kg wheat  = 4800

As price is reduce by 4% it means that it became 96% of initial 100% hence,

After price decrease = 4800/96 = 50 kg

Hence, the required quantity of wheat = (50 – 48) = 2 kg more.

 

The total population of a town is 5500. The number of males and females increases by 5% and 10% respectively and resulting population becomes 6000. Find the number of men in the town.

  1. 5500
  2. 2000
  3. 1000
  4. 3500

Answer (Detailed Solution Below)

Option 3 : 1000

Percentage Question 10 Detailed Solution

Download Solution PDF

Given:

Initial population of a town is 5500

Final population of a town is 6000

Male population increased by 5%

Female population increased by 10%

Calculation:

Let the number of males = x 

Number of females = (5500 - x)

According to the question,

⇒ Total Final population = Males + Females

⇒ 6000 = (x × 105) /100 + (5500 - x) × 110 /100

⇒ 6,00,000 = 105x  + ( 5500 × 110 - 110x )

⇒ 6,00,000 = 105x +  6,05,000 - 110x

⇒ 6,00,000 = 6,05,000 - 5x

⇒ -5x = - 5000 

⇒ x = 1000

∴ The number of men in the town is 1000.

Shortcut Trick qImage66cddf5eb776464328f6a3bd

In an election, 2% persons enrolled in the voter list did not participate and 500 votes were invalid. Two candidates A and B fought the election, and A defeated B by 200 votes. If 43% of the persons enrolled in the voter list casted their votes in favour of A, then what is the number of the total casted votes?

  1. 2450
  2. 2800
  3. 3000
  4. 3250

Answer (Detailed Solution Below)

Option 1 : 2450

Percentage Question 11 Detailed Solution

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Given:

2% of voters did not cast their votes

Invalid votes = 500

The winner got 200 votes more than his opponent and he secured 43%

Calculation:

Let the total number of voters in the voting list be x

Total votes = (100 - 2)x/100 = 98x/100 = 0.98x

Total valid votes = 0.98x - 500

Number of votes loser got = 0.43x - 200

Total valid votes are:

⇒ 0.43x + 0.43x - 200 = 0.98x - 500

⇒ 0.86x - 200 = 0.98x - 500

⇒ 0.98x - 0.86x = 300

⇒ x = 2500

∴ The number of total casted votes = 2500 × (100 - 2)%

⇒ 2450

The number of total casted votes is 2450.

In a competitive examination held in the year 2000, a total of 6,00,000 (6.0 lakh) students appeared and 40% passed the examination. Forty percent (40%) of the total students. were females and the rest were males. The pass percentage among the males was 50%. Find the pass percentage among the females.

  1. 25%
  2. 30%
  3. 35%
  4. 40%

Answer (Detailed Solution Below)

Option 1 : 25%

Percentage Question 12 Detailed Solution

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Given:

Total number of students is 600000.

Calculation:

Out of 600000, 40% passed, the total number of passed students 600000 × 40/100 = 240000

Out of 600000, 40% were female, the total number of females = 240000 and males = 360000

The pass percentage among the males was 50%, total males passed= 360000/2 = 180000

So, female passed = (240000 - 180000) = 60000

So, female pass% = 60000/240000 × 100 = 25%

∴ The correct answer is 25%

Shortcut Trick qImage670bb9927dc0b12b58a75113

The price of an umbrella decreased by 20%. As a result of which the sale increased by 40%. What will be the net effect on the total revenue of the shop?

  1. 12% decrease
  2. 15% increase
  3. 20% decrease
  4. 12% increase
  5. 18% decrease

Answer (Detailed Solution Below)

Option 4 : 12% increase

Percentage Question 13 Detailed Solution

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Calculation:

The price of an umbrella decreased by 20%. [20% can be written as 1/5]

Let the initial price be = 5x.

After 20% decrease = 4x

Sales is increase by 40% [40% can be written as 2/5]

Let the initial sale be = 5x

After 40% increase = 7x

The ratio of the cost price and selling price = 25x:28x = 25:28

The net effect on revenue [net profit%] = \(\frac{{\left( {28 - 25} \right)}}{{25}} \times 100\)

⇒ 12% increase.

Hence, the correct answer is 12% increase.

There were two candidates in an election, 10% of voters did not vote and 48 votes were found invalid. The winning candidate got 53% of all the voters in the list  and won by 304 votes. Find the total number of votes enrolled.

  1. 1600
  2. 1230
  3. 4561
  4. 1653

Answer (Detailed Solution Below)

Option 1 : 1600

Percentage Question 14 Detailed Solution

Download Solution PDF

Given:

There were two candidates in an election, 10% of voters did not vote and 48 votes were found invalid. The winning candidate got 53% of the total votes and won by 304 votes.

Concept used:

Percentage

Calculation:

Let the total number of voters be 100x

10% of voters did not vote 

Number of voters who vote = 100x - 10x = 90x

48 votes were found invalid

Valid votes = 90x - 48

Votes gained by the winning candidate = \(\frac{{53}}{{100}} \times 100x = 53x\)

Votes gained by the loosing candidate = 90x - 48 - 53x

⇒ 37x - 48

As per the question,

⇒ 53x - (37x - 48) = 304

⇒ 16x = 304 - 48

⇒ 16x = 256

⇒ x = 16

∴ Total number of voters = 100x = 1600

Alternate Method 

Let total number of votes be 100 units,

10% voters did not cast their vote

⇒ Votes polled = 90 units

The winning candidate got 53% of all the voters in the list and won by 304 votes,

⇒ Winning candidate got = 53 units votes

⇒ Other candidate got = 37 units votes

⇒ Difference in votes = 53 units votes - 37 units votes = 304 - 48 = 256 votes

⇒ 16 units = 256

∴ 100 units votes = 256/16 × 100 = 1600 votes

∴ Total number of voters = 1600.

If the average of a number, 50% of that number and 25% of the same number is 280, then the number is

  1. 280
  2. 480
  3. 360
  4. None of the above

Answer (Detailed Solution Below)

Option 2 : 480

Percentage Question 15 Detailed Solution

Download Solution PDF

Given:

Average is 280.

Formula used:

Average = sum of the observation/number of the observation     

Calculation:

Let the number be x

According to the question,

⇒ (x + 50% of x + 25% of x) / 3 = 280

⇒ (x + x/2 + x/4)/3 = 280

⇒ 7x/12 = 280

⇒ x =  480

∴ The number is 480.

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