Aptitude Questions on Percentages
This page is packed with carefully crafted Percentages questions designed to build your skills in solving a range of aptitude questions. Let’s get started.
Review Concepts for Percentages
Q. 1 A clever shopkeeper marks his goods at a price 40% above the cost. To attract customers, he gives a 25% discount on the marked price. Find out his overall profit percentage
A) 5%
B) 10%
C) 15%
D) 20%
Check Solution
Ans: A) 5%
Let the cost price be 100.
Marked price =100+40=140 .
Selling price after 25% discount = $140 \times 0.75 = 105$.
Profit percentage =$ \frac{105 – 100}{100} \times 100 = 5\%$
Q. 2 A town experiences a rollercoaster in population: a 10% increase in the first year, a 5% drop the next, and then a 15% boost in the third year. What’s the total percentage change in population after these three years?
A) 21.5%
B) 19.3%
C) 20%
D) 23%
Check Solution
Ans: C) 20%
Let the initial population be 100.
After 1st year: $100 \times 1.10 = 110$.
After 2nd year: $110 \times 0.95 = 104.5$.
After 3rd year: $104.5 \times 1.15 = 120.175$.
Percentage change = $\frac{120.175 – 100}{100} \times 100 = 20.175\%$.
Q. 3 Imagine the price of your favourite item gets a 25% hike one day and a 20% markdown the next. What’s the net percentage change in its price?
A) 0%
B) 2% increase
C) 5% increase
D) 10% increase
Check Solution
Ans: A) 0%
Let the original price be 100.
After a 25% increase: $100 \times 1.25 = 125$.
After a 20% decrease: $125 \times 0.80 = 100$.
The net change is 0%.
Q. 4 In a class, 40% of the students passed in Mathematics, and 50% passed in Science. If 25% passed in both subjects, what percentage of students unfortunately failed in both subjects?
A) 25%
B) 35%
C) 45%
D) 50%
Check Solution
Ans: B) 35%
Let total students =100 .
Passed in Math =40, in Science =50, in both =25.
So, passing in at least one subject =40+50−25=65.
Failing in both subjects =100−65=35%.
Q. 5 A person carefully budgets his salary: 40% goes to rent, 25% to groceries, 15% to transportation, and the rest goes into savings. If his monthly salary is $5000, how much does he save?
A) $1000
B) $750
C) $2000
D) $1500
Check Solution
Ans: A) $1000
Total expenses =40%+25%+15%=80%.
Savings =100%−80%=20%.
Amount saved =$ 5000 \times 0.20 = 1000$.
Q. 6 Sixty percent of a mystery number is 240. Can you crack the code and find out what 75% of that number is?
A) 250
B) 300
C) 360
D) 400
Check Solution
Ans: B) 300
Let the number be x.
Then, 0.6x=240.
So, $x = \frac{240}{0.6} = 400$.
Then, $0.75 \times 400 = 300$.
Q. 7 A product’s price bounces around: it’s increased by 10% one month but reduced by 10% the next. What’s the net impact on the price after these changes?
A) 0%
B) 1% increase
C) 1% decrease
D) 2% decrease
Check Solution
Ans: C) 1% decrease
Let the original price be 100.
After a 10% increase: $100 \times 1.10 = 110$.
After a 10% decrease: $110 \times 0.90 = 99$.
Net percentage change =$\frac{99 – 100}{100} \times 100 = -1\%$.
Q. 8 At a college, 30% of students are football fans, 40% enjoy basketball, and 20% love both. What percentage of students prefer neither sports?
A) 50%
B) 20%
C) 40%
D) 30%
Check Solution
Ans: A) 50%
Total students =100.
Students who prefer at least one sport = 30 + 40 – 20 = 50.
Students who prefer neither sport =$ 100 – 50 = 50\%$.
Q. 9 A mysterious quantity grows by 20% and becomes 600. What was its original value before the increase?
A) 450
B) 500
C) 480
D) 520
Check Solution
Ans: B) 500
Let the original quantity be x.
Then $x \times 1.20 = 600$.
So, $x = \frac{600}{1.20} = 500$.
Q. 10 A lucky employee celebrates two consecutive salary hikes: 15% first, followed by another 10%. What’s the total percentage increase in their salary?
A) 25%
B) 26.5%
C) 27.5%
D) 28%
Check Solution
Ans: B) 26.5%
Total percentage increase = $15 + 10 + \frac{15 \times 10}{100} = 26.5\%$.
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