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Percentage - Aptitude MCQ Questions and Solutions with Explanations

Percentage MCQ Questions and answers with easy and logical explanations.Arithmetic Ability provides you all type of quantitative and competitive aptitude mcq questions on Percentage with easy and logical explanations. Percentage MCQ is important for exams like Banking exams,IBPS,SCC,CAT,XAT,MAT etc. Page-1 section-3

Each section contains 100 MCQs on Percentage .
1
A sample of 50 litres of glycerine is found to be adulterated to the extent of 20%. How much pure glycerine should be added to it so as to bring down the percentage of impurity to 5% ?
Discuss
Answer & Solution
Answer: Option B
Solution:
Give the amount of solution = 50litres
20% of impurity in a given solution
i.e.
40 liters of glycerine and 10 liters of impurities
Now to keep the impurity 10 liters and we added glycerine to a solution to bring down impurities level 5%.
i.e. 10 is 5% of 200. So we need to added glycerine 'x' amount of glycerine to make solution of 200liters
∴ x = 200 - (40 + 10) = 150 litres of glycerine
2
A and B are two fixed points 5 cm apart and C is a point an AB such that AC is 3 cm. If the length of AC is increased by 6%, the length CB is decreased by :
Discuss
Answer & Solution
Answer: Option D
Solution:
Percentage mcq solution image
After increment of 6% new length of AC
= 3 + $$\frac{3 × 6}{100}$$ = 3.18cm
Required % decrease
= $$\frac{0.18}{2}$$ × 100
= 9%
3
What percentage of the whole week does Ajay spend in office, if his office hours are 9 am to 5 pm from Monday to Friday ?
Discuss
Answer & Solution
Answer: Option B
Solution:
Time spend by Ajoy in a day = 8 hrs
Time spend by Ajay in a week = 8 × 5 = 40 hrs
Percentage time spend in a week :
= $$\frac{40}{24 × 7}$$ × 100
= 23.81%
4
A's salary was decreased by 50% and subsequently increased by 50%. How much percent does he lose ?
Discuss
Answer & Solution
Answer: Option A
Solution:
Let A salary's in starting is = 100
Now after decreased by 50% A salary become = 50
Again 50% of salary increase i.e. 50% of 50 = 25
Current salary is = 50 + 25 = 75
Actual decrease in salary of A = 100 - 75 = 25
Actual % lose = $$\frac{25}{100}$$ × 100 = 25%
5
A man spend $$7\frac{1}{2}$$% of his money and after spending 75% of the remaining he had Rs. 370 left. How much money did he have :
Discuss
Answer & Solution
Answer: Option B
Solution:
Let the 100unit is the salary of the person
After spending 7.5% of his salary remain salary 92.5 Now again he spended 75% of 92.5 and remain 25% which have value Rs. 370
According to the question,
92.5 × 25% unit = 370
92.5 × $$\frac{1}{4}$$ unit = 370
1 unit = $$\frac{370 × 4}{92.5}$$
100 unit = $$\frac{370 × 4 × 100}{92.5}$$
              = Rs. 1600
6
A man spends a part of his monthly income and saves the rest. The ratio of his expenditure to the saving is 61 : 6. If his monthly income is Rs. 8710, the amount of his monthly savings is :
Discuss
Answer & Solution
Answer: Option D
Solution:
Expense + Saving = Income
      61     +     6     =     67
67 units = Rs. 8710
1 unit = $$\frac{{8710}}{{67}}$$  = 130
6 unit = Rs. 780
7
A number is increased by 15% and then decreased by 25% and the number becomes 22 less than the original number. The original number is :
Discuss
Answer & Solution
Answer: Option B
Solution:
Let the number is = 100x
Now after 15% of increase = 100x + 15% of 100x = 115x
Now 25% decrease = 115x - 25% of 115x = 115x - 28.75x = 86.25x
Actual decreased = 100x - 86.25x = 13.75x
According to the question,
13.75x = 22
x = $$\frac{22}{13.75}$$
100x = $$\frac{22}{13.75}$$   × 100 = 160
∴ Original number = 160
8
What is the difference between 0.6 and 0.6% ?
Discuss
Answer & Solution
Answer: Option B
Solution:
0.6% = $$\frac{0.6}{100}$$ = 0.006
So, difference = 0.6 - 0.006 = 0.594
9
A number is decreased by 10% and the resulting number is again decreased by 20%. What is the final percentage of decrease ?
Discuss
Answer & Solution
Answer: Option D
Solution:
Find decreased profit
= 10 + 20 - $$\frac{10 × 20}{100}$$
= 30 - 2
= 28%
10
In an office, 40% of the staff is female. 70% of the female staff and 50% of the male staff are married. The percentage of the unmarried staff in the office is :
Discuss
Answer & Solution
Answer: Option B
Solution:
Let the total staff = 100
40% of female, i.e 40 female and 60 male
70% of female staff is married i.e. 70% of 40 female = 28
Number of unmarried female = 40 - 28 = 12
50% of male staff is married i.e 50% of 60 male = 30
Number of unmarried male = 60 - 30 = 30
Total number of unmarried staff = 12 + 30 = 42
% of unmarried staff = $$\frac{42}{100}$$ × 100   = 42%