Percentages: Aptitude Questions with Answers – Free Practice!
Review Concepts for Percentages
Q. 1 Find the value: 30% of 700
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?
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 shirt gets a 25% hike one day and a 20% markdown the next. What’s the net percentage increase in its price?
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?
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?
Total expenses =40%+25%+15%=80%.
Savings =100%−80%=20%.
Amount saved =$ 5000 \times 0.20 = 1000$.
Q. 6 Sixty percent of a number is 240. Can you crack the code and find out what 75% of that number is?
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?
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?
Total students =100.
Students who prefer at least one sport = 30 + 40 – 20 = 50.
Students who prefer neither sport =$ 100 – 50 = 50\%$.
Q. 9 Price of a newly launched luxury bag increases by 20% and becomes $600 few days after the launch. What was its price during the launch day?
Let the original price 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?
Total percentage increase = $15 + 10 + \frac{15 \times 10}{100} = 26.5\%$.
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Q. 11 Find the value: 50% of 440
50% of 440 = (50 * 440 )/100 = 220
Q. 12 What is the value of: 70% of 70% of 390
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.
Calculate the final price of the laptop: 70000 *(1+10/100) = 77000
Q. 14 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?
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?
$\frac{60,000}{1,500,000} \times 100 = 4%$
Q. 15 Bob weighs 80 kgs and plans to take 20 mcg of a certain allergy medication. The medication label recommends a dosage of 3 mcg for every 10 kgs of body weight. By what percentage should Bob increase his intended dosage to meet the prescribed amount?
Prescribed dosage = 3*80/10 = 24mcg
Increase in dosage = (24-20)/20*100 = 20%
Q. 16 Riya’s monthly income is ₹60,000. Based on the pie chart, how much is she saving every month?
Saving = 25% of 60000 = 25*60000/100 = 15000
Q. 17 Based on the following graph, which subject had the highest percentage improvement from Term 1 to Term 2?
Strength of Material = (15/60)*100 = 25%
AI in Robotics = 7/70*100 = 10%
Thermodynamics = (20/65)*100 = 30.8%
Q. 18 Given data table shows India’s GDP numbers. What had been the change in India’s real GDP in 2023 compared to 2018?
| Year | GDP nominal (in $10^{11}$ Dollars) | GDP Real (in $10^{11}$ in dollars) |
| 2023 | 35.7 | 32.1 |
| 2022 | 33.5 | 29.7 |
| 2021 | 31.7 | 27.8 |
| 2020 | 26.8 | 25.3 |
| 2019 | 28.3 | 26.9 |
| 2018 | 27.0 | 25.9 |
Real GDP change % = (32.1-25.9)/25.9*100 = 24%
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