Percentage Aptitude Questions and Answers – Quantitative Aptitude

Percentage Aptitude Question and Answer – Formulas & Tricks

Points to Remember:

  • Y% is expressed as (Y/100)
  • To find percent of (x/y) = ((x/y) * 100)%

Percentage Increase / Decrease:

If the price of a commodity increases by R%, then the reduction in consumption so as not to increase the expenditure is

Percentage Increase

If the price of a commodity decreases by R%, then the increase in consumption so as not to decrease the expenditure is:

Percentage Decrease

Population Result:

Let the population of a town be P now and suppose it increases at the rate of R% per annum, then:

  • Population after n years = Population-percentage
  • Population n years ago = population percentage

Depreciation Results:

Let the present value of a machine be P. Suppose it depreciates at the rate of R% per annum. Then,

  • Value of the machine after n years = Depreciation Percentage
  • Value of the machine n years ago = Depreciation Percentage
  • If A is R% more than B, then B is less than A by Depreciation Percentage
  • If A is R% less than B, then B is more than A by Depreciation Percentage

Percentage Concepts & Tricks

A decimal fraction is one in which the denominator of the fraction is a power of 10 i.e. 10, 100, 1000 etc. The decimal fraction which has 100 as its denominator is know as Percentage. The numerator of such a fraction is known as Rate Per Cent.

Percentage Aptitude Question and Answer With Detailed ExplanationQuantitative Aptitude

Percentage

Question 1
What percentage of numbers from 1 to 30 has 1 or 9 in the unit's digit?
A
12
B
15
C
20
D
22
Question 1 Explanation: 
Answer: Option C
Explanation:
Such numbers from 1 to 30 are 1, 9 ,11, 19, 21, 29
Number of such numbers = 6
Required Percentage is ((6/20) * 100)% = 20%
Question 2
A student erroneously multiplied a number by 2/5 instead of 5/2. What is the percentage error in the calculation?
A
24%
B
54%
C
74%
D
84%
Question 2 Explanation: 
Answer: Option D
Explanation:
Let the number be 100, 2/5 of 100 is 40 while 5/2 of 100 is 250.
Now the difference is 210 on a base of 250.
Therefore, Percentage difference is 210/250 into 100 = 84%.
Question 3
40 is subtracted from 60% of a number, the result is 50. Find the number?
A
110
B
130
C
150
D
170
Question 3 Explanation: 
Answer: Option C
Explanation:
(60/100) * x - 40 = 50
6x = 900
x = 150
Question 4
In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
A
32%
B
42%
C
52%
D
62%
Question 4 Explanation: 
Answer: Option C
Explanation:
Total = 100
T = 40, NT = 60
40 * (60/100) = 24
60 * (40/100) = 24
24 + 24 = 48
100 - 48 = 52%
Question 5
Juice is 15% costlier than water. By what percentage is the price of water lower than that of juice?
A
5%
B
6.50%
C
9.50%
D
13.05%
Question 5 Explanation: 
Answer: Option D
Explanation:
Suppose, 1ltr water = Rs. 100
So, 1ltr juice will be Rs. 100 + (15% of 100) = 100 + 15= Rs. 115
Now, how would we express water as a percentage of juice?
(100/115) * 100 = 86.95%
Question 6
Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
A
57%
B
60%
C
65%
D
90%
Question 6 Explanation: 
Answer: Option A
Explanation:
Total number of votes polled =(1136 + 7637 + 11628) = 20400
Therefore, Required Percentage =((11628/20400) * 100)% = 57%
Question 7
The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:
A
4.37%
B
5%
C
6%
D
8.75%
Question 7 Explanation: 
Answer: Option B
Explanation:
Increase in 10 years = (262500 - 175000) = 87500
Increase% = ((87500/175000) * 100)% = 50%
Therefore, Required Average = (50/10)% = 5%
Question 8
A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum marks are:
A
500
B
600
C
800
D
900
Question 8 Explanation: 
Answer: Option A
Explanation:
Given, that the student got 125 marks and still he failed by 40 marks
The minimum pass mark = 125 + 40 = 165
Given that minimum pass mark = 33% of the total mark
Total mark = 33/100 = 165
Total Mark = 16500/33 = 500
Question 9
A stationery seller had some pens, sharpeners, erasers & pencils. He sells 65% of the total units and still has 175 units. Originally, he had:
A
588 units
B
400 units
C
272 units
D
500 units
Question 9 Explanation: 
Answer: Option D
Explanation:
Suppose originally he had x units
Then, (100 - 65)% of x = 175
35/100x = 175
x = 500
Question 10
Ankita is 25 years old. If Rahul's age is 25% greater than that of Ankita then how much percent Ankita's age is less than Rahul's age?
A
40%
B
35%
C
10%
D
20%
Question 10 Explanation: 
Answer: Option D
Explanation:
Percentage decreased = (25/125) * 100 = 20%
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