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# Percentage

In Quantitative Aptitude, Percentage is defined as a number or ratio which can be expressed as a fraction of 100 or a fraction whose denominator is 100 is called a percentage & the numerator of the fraction is called the rate percent.

Concept of Percentage:

Kamal saves 20% of his monthly income means – Kamal saves Rs.20 out of every Rs.100 of his income.

• To calculate x% of y - (x/100) * y = (x*y)/100
• x% of y = y% of x
• Percentage change in value = {change/(initial value)} * 100
• Increase A by x%= A(1 + x/100)
• Decrease A by x% = A(1 – x/100)
• If Y is x% more /less than Z, then Z is 100x/(100 + x) % less/more than Y
• Successive Percentage Change - If there are successive percentage increases of x % and y%, the effective percentage increase is: {(x + y + (xy/100)}%

Concept of Percentage
Percentage and Percent are related closely to each other. Percent (%) is accompanied with a specific number.
Example - More than 80% of the students who took ADDA247 test series qualified the RBI Assistant prelims 2020. Percentage is represented without a number, is used generally for general case of percent.
Example: The percentage of the population affected by coronovirus is between 20% and 25%.
Tricks Related To Percentage:
Fraction, Ratio, Percent and Decimal are interrelated with each other. The conversion table will serve as a shortcut trick to solve various questions.
S.No.
Raio
Fraction
Percentage
Decimal
1
1:1
1/1
100
1
2
1:2
1/2
50
0.5
3
1:3
1/3
33.33
0.3333
4
1:4
1/4
25
0.25
5
1:5
1/5
20
0.20
6
1:6
1/6
16.667
0.16667
7
1:7
1/7
14.285
0.14285
8
1:8
1/8
12.5
0.125
9
1:9
1/9
11.111
0.11111
10
1:10
1/10
10
0.10