Percentage MCQ Quiz - Objective Question with Answer for Percentage - Download Free PDF
Last updated on May 21, 2025
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?
Answer (Detailed Solution Below)
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?
Answer (Detailed Solution Below)
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?
Answer (Detailed Solution Below)
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?
Answer (Detailed Solution Below)
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.
Answer (Detailed Solution Below)
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
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?
Answer (Detailed Solution Below)
Percentage Question 6 Detailed Solution
Download Solution PDFGiven:
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.
Answer (Detailed Solution Below)
Percentage Question 7 Detailed Solution
Download Solution PDFGIVEN :
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?
Answer (Detailed Solution Below)
Percentage Question 8 Detailed Solution
Download Solution PDFCalculation:
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?
Answer (Detailed Solution Below)
Percentage Question 9 Detailed Solution
Download Solution PDFGIVEN :
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.
Answer (Detailed Solution Below)
Percentage Question 10 Detailed Solution
Download Solution PDFGiven:
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
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?
Answer (Detailed Solution Below)
Percentage Question 11 Detailed Solution
Download Solution PDFGiven:
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.
Answer (Detailed Solution Below)
Percentage Question 12 Detailed Solution
Download Solution PDFGiven:
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
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?
Answer (Detailed Solution Below)
Percentage Question 13 Detailed Solution
Download Solution PDFCalculation:
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.
Answer (Detailed Solution Below)
Percentage Question 14 Detailed Solution
Download Solution PDFGiven:
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
Answer (Detailed Solution Below)
Percentage Question 15 Detailed Solution
Download Solution PDFGiven:
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.