Aptitude Questions on Percentages for Placements
Welcome to our practice page dedicated to helping you ace Percentages questions for placement aptitude tests! This page is packed with carefully crafted questions designed to build your skills in solving a range of questions. Practice, review solutions, and keep challenging yourself. With consistent practice, you’ll develop a solid foundation to handle any Percentages problem that comes your way!
Q. 1 A shopkeeper marks his goods 40% above the cost price. He offers a discount of 25% on the marked price. What is 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 If the population of a town increases by 10% in the first year, decreases by 5% in the second year, and increases by 15% in the third year, what is the percentage change in the population over the 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 The price of an item is increased by 25% and then decreased by 20%. What is the net percentage change in the 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 Math, and 50% passed in Science. If 25% passed in both subjects, what percentage of students 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 spends 40% of his salary on rent, 25% on groceries, 15% on transportation, and saves the rest. If his 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 If 60% of a number is 240, what is 75% of that number?
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 The price of a commodity increased by 10% in one month and decreased by 10% in the next month. What is the net percentage change in the price?
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 In a college, 30% of students play football, 40% play basketball, and 20% play both. What percentage of students play neither sport?
A) 50%
B) 20%
C) 40%
D) 30%
Check Solution
Ans: A) 50%
Total students =100.
Students who play at least one sport = 30 + 40 – 20 = 50.
Students who play neither sport =$ 100 – 50 = 50\%$.
Q. 9 A quantity increases by 20% to become 600. What was the original quantity?
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 salary is increased by 15% and then by another 10%. What is the total percentage increase?
A) 25%
B) 26.5%
C) 27.5%
D) 28%
Check Solution
Ans: B) 26.5%
Total percentage increase = $15 + 10 + \frac{15 \times 10}{100} = 26.5\%$.
Practice Questions for next topic: https://www.learntheta.com/aptitude-questions-ratio-proportion/
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