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 Percentage Questions

Popular Latest Rated Important Formulae

FACTS  AND  FORMULAE  FOR  PERCENTAGE  QUESTIONS

 

 

I.Concept of Percentage : By a certain percent , we mean that many hundredths. Thus x percent means x hundredths, written as x%.

To express x% as a fraction : We have , x% = x/100.

Thus, 20% = 20/100 = 1/5;     

48% = 48/100 = 12/25, etc.

To express a/b as a percent : We have, ab=ab×100% .

 

Thus, 14=14×100%=25%

   

 

II. If the price of a commodity increases by R%, then the reduction in consumption so as not to increase the expenditure is R100+R×100%

If the price of the commodity decreases by R%,then the increase in consumption so as to decrease the expenditure is R100-R×100%

 

 

III. Results on Population : Let the population of the town be P now and suppose it increases at the rate of R% per annum, then :

1. Population after n years = P1+R100n

 

2. Population n years ago =  P1+R100n

 

 

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

1. Value of the machine after n years = P1-R100n

 

2. Value of the machine n years ago = P1-R100n

 

 

V. If A is R% more than B, then B is less than A by

R100+R×100%    

If A is R% less than B , then B is more than A by 

R100-R×100%  

Q:

Two numbers are 20% and 30% less than the third number . How much percent is the second number less than first?

Answer

Let the third number be 100.


 


Then, the first number = 100 - 20 = 80 and second number = 100 - 30 = 70.


 


Difference between the first and second number = 80-70 = 10


 


\inline \therefore Required percentage = 1080 x 100% = 100/8 = 12.5%


 


 

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Subject: Percentage Exam Prep: Bank Exams

34 20262
Q:

Read the data given below and answer the questions based on it.

 

In the CBSE Board exams last year, 53% passed in Biology, 61% percent passed in English, 60% in Social studies, 24% in Biology and English, 35% in English and social studies, 27% in Biology and social studies and 5% in none.

 

What is the ratio of percentage of students who passed in Biology and Social Studies but not English in relation to the percentage of students who passed in Social Studies and English but not Biology?

A) 5:7 B) 7:5
C) 4:5 D) 5:4
 
Answer & Explanation Answer: A) 5:7

Explanation:
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Exam Prep: Bank Exams

2 20006
Q:

A student multiplied a number by 2/5 instead of 5/2. What is the percentage error in evaluation ?

A) 52% B) 64%
C) 84% D) 77%
 
Answer & Explanation Answer: C) 84%

Explanation:

Let the number be 'x'

 

Then, according to the given data,

 52x-25x52xx100

 

= 2125x100

 

= 84%

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Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

14 19969
Q:

The current birth rate per thousand is 32, whereas corresponding death rate is 11 per thousand. The net growth rate in terms of population increase in percent is given by :

A) 1.2 % B) 2.1 %
C) 3.1 % D) 1.3 %
 
Answer & Explanation Answer: B) 2.1 %

Explanation:

 Net growth on 1000 = (32 - 11) = 21. Net growth on 100 =(21/1000 * 100) %= 2.1%.

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18 18055
Q:

96% of the population of a village is 23040. The total population of the village is ?

A) 24000 B) 32256
C) 25478 D) 26587
 
Answer & Explanation Answer: A) 24000

Explanation:

Let the total population be 'P'

P x (96/100) = 23040

P = 240 * 100

P = 24000.

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Exam Prep: AIEEE , Bank Exams , CAT , GATE
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18 18041
Q:

In a test, minimum passing percentage for girls and boys is 35% and 40% respectively. A boy scored 483 marks and failed by 117 marks. What is the minimum passing marks for girls ?

A) 625 B) 525
C) 425 D) 325
 
Answer & Explanation Answer: B) 525

Explanation:

Given 40% minimum passing marks for boys = 483 + 117 = 600
=> 1% = 600/40
=> 100% = 600 x 100/40 = 1500
Minimum passing marks for girls = 35% of 1500 = 35 x 1500/100 = 525.

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Exam Prep: AIEEE , Bank Exams , CAT , GATE
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15 17689
Q:

15% of 60 is 45% of __

 

A) 20 B) 30
C) 180 D) 40
 
Answer & Explanation Answer: A) 20

Explanation:
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Exam Prep: Bank Exams

4 17585
Q:

Abhinav scores 80% in physics and 66% in chemistry and the maximum marks of both the papers are 100. what percent does he score in maths which is of 200 marks, if he scores 80% marks in all the three subjects: 

A) 74% B) 84%
C) 87% D) 83%
 
Answer & Explanation Answer: C) 87%

Explanation:

80100 + 66100 + x200 = 320400

 

=>x = 174 =>    87%

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31 17500