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PERCENTAGE

“Percentage” topic is heart of Arithmetic. This concept almost applicable to all the major topics in quantitative aptitude especially in Data Analysis & Data Interpretation, which are helpful to score better in the competitive examinations.

The word “Percent” means “Per hundred”. It represented by symbol “%”. In order to score maximum marks in the Quant section, one needs to be thorough with the conversations i.e. percentage to fraction and fraction to percentage.

Percentage to Fraction conversion:
Ex:
75% is equal to which fraction? 

Some important Percentages to Fractions conversions
Percentage             Fraction

100%                           1
75%                            3/4
50%                           1/2
25%                           1/4
12 1/2%                     1/8
37 1/2%                     3/8
62 1/2%                     5/8
87 1/2%                     7/8
16 2/3%                     1/6
33 1/3%                     1/3
66 2/3%                     2/3

 

Fraction to Percentage conversion:
Ex: 1/2  fraction is equal to how much percentage?  
1/2 × 100 = 50% 

Some important fraction to percentage conversions

Fraction                Percentage
1                                100%
1/2                              50%
1/3                              33 1/3%
1/4                              25%
1/5                              20%
1/6                            16 2/3%
1/7                            14 2/7%
1/8                            12 1/2%
1/9                            11 1/9%
1/10                          10%
1/11                           9 1/11%

If we remember the above values in the table we can easily solve the required problems within short time.
 

Model Questions

1. 72 is what percent of 1440?
1) 15%               2) 12.5%               3) 5% 4) 8%                 5) 20%
Explanation: 72/1440 x 100 = 1/20 x 100  = 5% 
Ans: 3

 

2. 0.15%  of 33. 1/2  % of Rs.10000 is:  
1) Rs.5           2) Rs.150           3) Rs.0.05           4) Rs.105       5) Rs.120 

the examination?
1) 68       2) 76       3) 72       4) 74       5) 92 
Explanation: Percentage = 684/950 × 100 = 72%
Ans: 3

 

7. A person who spends 66 2/3% of his income  is able to save Rs.1200 per month. His monthly expenses (in Rs.) is.....
1) 1,200              2) 2,400              3) 3,000           4) 3,200              5) 2,600
Explanation: 66 2/3% = 2/3
income = 3p, expenditure = 2p,
savings = 3p − 2p = p
According to question

Ans: 2

 

8. In a town, the population was 8000. In one year, male population increased by 10% and female population increased by 8% but the total population increased by 9%. The number of males in the town was....
1) 4000               2) 4500              3) 5000           4) 6000               5) 3500
Explanation: By allegation method

 

9. A reduction of 10% in the price of an apple enable a man to buy 10 apples more for Rs. 54. The reduced price of apples per dozen is.....
1) Rs.6.48         2) Rs.12.96         3) Rs.10.80             4) Rs.14.40              5) Rs.11.76 

 

12. In an examination, 34% failed in Mathematics and 42% failed in English. If 20% failed in both the subjects, the percentage of students who passed in both subjects was.....
1) 54%                2) 50%                3) 44%             4) 56%                5) 48%


15. A man spends 40% of his monthly salary on food and one-third of the remaining on transport. If he saves Rs.4,500 per month which is equal to half the balance after spending on food and transport, his monthly salary is.....
1) Rs.11,250               2) Rs.22,500             3) Rs.25,000              4) Rs.45,000            5) Rs.16,500
Explanation: Salary = 100%; Food = 40% 







 

Posted Date : 25-06-2021

 

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