Percentages: Aptitude Questions with Answers
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 Find the value: 30% of 700
A) 220
B) 210
C) 225
D) 230
Check Solution
Ans: B
30% of 700 = (30 * 700 )/100 = 210
Q. 2 A beauty e-commerce startup marks its products at a price 80% above the cost. During Diwali sale, firm runs a 25% discount on the marked price. Find out firm’s overall profit percentage during Diwali Sale?
A) 15%
B) 25%
C) 35%
D) 50%
Check Solution
Ans: C) 35%
Let the cost price be 100.
Marked price =100+80=180 .
Selling price after 25% discount = $180 \times 0.75 = 135$.
Profit percentage =$ \frac{135 – 100}{100} \times 100 = 35\%$
It is advisable to remember important conversions for such questions.
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, $0.75 \times 400 = 300$.
A lot of Percentage questions like this are based on real-life applications.
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 = $15 + 10 + \frac{15 \times 10}{100} = 26.5\%$.
Q. 11 Find the value: 50% of 440
A) 230
B) 220
C) 235
D) 240
Check Solution
Ans: B
50% of 440 = (50 * 440 )/100 = 220
Q. 12 What is the value of: 70% of 70% of 390
A) 191.1
B) 201.1
C) 206.1
D) 211.1
Check Solution
Ans: A
70% of 70% of 390 = (70/100) * (70/100) * 390 = 191.1
Q. 13 A laptop was priced at ₹70000, and its price increased by 10%. Find the final price of the laptop.
A) 77000
B) 87000
C) 67000
D) 97000
Check Solution
Ans: A
Calculate the percentage change by dividing the absoloute change in value by original value : (77000 – 70000 )/ 70000 *100 = 10
Q. 15 In Gotham City, last year’s tourism revenue accounted for 20% of the city’s overall revenue, with the rest, totaling $600,000, coming from manufacturing. This year, tourism revenue fell by 60%, while manufacturing revenue rose by 150%. What percentage of this year’s manufacturing revenue is the revenue from tourism?
A) 4 percent
B) 6 percent
C) 20 percent
D) 25 percent
Check Solution
Ans: A
Let $ x $ be the total revenue last year. Then, 20% of $ x $ is: 0.20x
The remaining revenue from manufacturing is: \ $ 600,000
So, 0.20x + 600,000 = x
Solving for $ x$:
x = $ 750,000
Therefore, tourism revenue last year was:
0.20($ 750,000) = $ 150,000
This year, tourism revenue declined by 60%, so it is now:
$ 150,000 * 0.40 = $ 60,000
Manufacturing revenue increased by 150%, so it is now:
$ 600,000 * 2.50 = $ 1,500,000
Therefore, tourism revenue is now what percent of manufacturing revenue?
\frac{$ 60,000}{$ 1,500,000} \times 100 \approx 4%
Final Answer: 4%
Q. 16 10,000 percent of 500 percent of 20 percent less than some positive integer is what percent greater than 400 percent of 20 percent of 10 percent of that positive integer ?
A) 499,900 percent
B) 49,990 percent
C) 4,999 percent
D) 499.9 percent
Check Solution
Ans: A
Slightly overkill in the question with the language but let’s give it a shot
If the integer is a, then 10000 percent of 500 percent of 20 percent less than some positive integer= (10000/100)(500/100)((1-20)/100)a = 100*5*0.8a=400a
400 percent of 20 percent of 10 percent of that positive integer= (400/100)*(20/100)*(10/100)*a=4*0.2*0.1=0.08a
So 100(400a-0.08a)/0.08a=100(40000a-8a)/8a=100(5000-1)=1004999=499900%
Next topic: Ratio and Proportion
Refer Topic wise Aptitude Questions with Solutions
Can you solve these real life Practice Problems from Percentages?
1. FIFA’s Jersey Revenue Puzzle