Percentage MCQ Quiz - Objective Question with Answer for Percentage - Download Free PDF
Last updated on Jun 17, 2025
Latest Percentage MCQ Objective Questions
Percentage Question 1:
The monthly income of Reena was ₹75,200 and her monthly expenditure was ₹22,500. Next year, her income increased by 25% and her expenditure by 14%. Find the percentage increase in her savings (rounded off to 2 decimal places).
Answer (Detailed Solution Below)
Percentage Question 1 Detailed Solution
Given:
Monthly income of Reena = ₹75,200
Monthly expenditure of Reena = ₹22,500
Income increase = 25%
Expenditure increase = 14%
Formula used:
Savings = Income - Expenditure
Percentage Increase in Savings =
Calculations:
Old Savings = ₹75,200 - ₹22,500
⇒ Old Savings = ₹52,700
New Income = ₹75,200 × 1.25
⇒ New Income = ₹94,000
New Expenditure = ₹22,500 × 1.14
⇒ New Expenditure = ₹25,650
New Savings = ₹94,000 - ₹25,650
⇒ New Savings = ₹68,350
Percentage Increase in Savings =
⇒ Percentage Increase in Savings =
⇒ Percentage Increase in Savings ≈ 29.70%
∴ The correct answer is option (4).
Percentage Question 2:
Ramesh's pocket money was reduced by 25%, and then the reduced pocket money was increased by 20%. Find the net increase or decrease percentage in his original pocket money.
Answer (Detailed Solution Below)
Percentage Question 2 Detailed Solution
Given:
Ramesh's pocket money is first reduced by 25% and then increased by 20%.
Formula used:
Final value = Initial value × (1 - Reduction%) × (1 + Increase%)
Net percentage change = ((Final value - Initial value) / Initial value) × 100
Calculation:
Let the original pocket money be ₹100.
After a 25% reduction:
⇒ ₹100 × (1 - 0.25) = ₹100 × 0.75 = ₹75
Now, increase the reduced amount by 20%:
⇒ ₹75 × (1 + 0.20) = ₹75 × 1.20 = ₹90
Now, calculate the net change:
⇒ Net percentage change = ((90 - 100) / 100) × 100
⇒ Net percentage change = (-10 / 100) × 100
⇒ Net percentage change = -10%
∴ There is a net decrease of 10% in Ramesh's original pocket money.
Percentage Question 3:
In an election between two candidates, 10% of the registered voters did not cast their vote. The winning candidate got 60% of the total votes cast and defeated the other candidate by 1242 votes. Find the total number of registered voters.
Answer (Detailed Solution Below)
Percentage Question 3 Detailed Solution
Given:
10% of the registered voters did not cast their vote.
The winning candidate got 60% of the total votes cast.
The winning candidate defeated the other candidate by 1242 votes.
Formula Used:
Total votes cast = 90% of registered voters
Votes received by the winning candidate = 60% of total votes cast
Votes received by the other candidate = 40% of total votes cast
Difference in votes = Votes received by the winning candidate - Votes received by the other candidate
Calculation:
Let the total number of registered voters be x .
Total votes cast = 90% of x = 0.9 x
Votes received by the winning candidate = 60% of 0.9 x = 0.6 × 0.9 x = 0.54 x
Votes received by the other candidate = 40% of 0.9 x = 0.4 × 0.9 x = 0.36 x
Difference in votes = 1242
⇒ 0.54x - 0.36 x = 1242
⇒ 0.18 x = 1242
⇒ x = 1242 / 0.18
⇒ x = 6900
The total number of registered voters is 6900.
Percentage Question 4:
The ratio of the expenditure and savings of a person is 4 ∶ 3. His expenditure increases by 1/4 of his initial savings and his income increases by Rs. 300. If his savings remains the same, then what is his initial expenditure?
Answer (Detailed Solution Below)
Percentage Question 4 Detailed Solution
Given:
Ratio of initial Expenditure and Saving = 4:3
Expenditure increases by 1/4 of initial savings
Income increases by Rs. 300
Calculation:
Let the initial expenditure and savings be 16x and 12x resp
⇒ Income = (16 + 12) = 28x
According to the question,
Expenditure increases by 1/4 of initial savings
⇒ New Expenditure = 16x + [12x × (1/4)] = 19x
New income = 28x + 300
⇒ New savings = (28x + 300) - 19x
Again according to the question,
Initial and new savings are same
⇒ (28x + 300) - 19x = 12x
⇒ 9x + 300 = 12x
⇒ 3x = 300
⇒ x =100
Initial expenditure = 16x = Rs. 1600
∴ The initial expenditure was Rs. 1600.
Important Points
As Expenditure increases by 1/4 of initial savings, we have assumed the initial savings as multiple of 4 for simplicity.
[And not taken Expenditure:Savings = 4:3]
Percentage Question 5:
In a class, the ratio of the number of boys to that of girls is 11: 9, 30% of the boys and 20% of the girls have passed an examination. The percentage of passed students of the class is
Answer (Detailed Solution Below)
Percentage Question 5 Detailed Solution
Given:
Ratio of boys to girls = 11:9
Percentage of boys who passed = 30%
Percentage of girls who passed = 20%
Formula used:
Let total students = 100 (assumed for simplicity).
Total boys = (11 / (11 + 9)) × 100 = 55
Total girls = (9 / (11 + 9)) × 100 = 45
Boys passed = (30% of boys) = (30 / 100) × 55
Girls passed = (20% of girls) = (20 / 100) × 45
Total passed students = Boys passed + Girls passed
Percentage of passed students = (Total passed students / Total students) × 100
Calculations:
Total boys = (11 / 20) × 100 = 55
Total girls = (9 / 20) × 100 = 45
Boys passed = (30 / 100) × 55
⇒ Boys passed = 16.5
Girls passed = (20 / 100) × 45
⇒ Girls passed = 9
Total passed students = Boys passed + Girls passed
⇒ Total passed students = 16.5 + 9 = 25.5
Percentage of passed students = (25.5 / 100) × 100
⇒ Percentage of passed students = 25.5%
∴ The correct answer is option (1).
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 =
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 =
∴ 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
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 13 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 =
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.
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 14 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%] =
⇒ 12% increase.
Hence, the correct answer is 12% increase.
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.