Percentage
The percentage is per‑cent which means parts per hundred.
Percent sign
The percent sign is the symbol: %
It is written to the right side of the number: 50%
Percentage Definition
Percentage is a value that represents the proportion of one number to another number.
1 percent represents 1/100 fraction.
If we have to convert percentage into a fraction than it is divide by 100.
Example 1: if we write 45% then its equal to 45/100 or in fraction 9/20 or in decimal 0.45
If we have to convert a fraction into a percentage, we have to multiple with 100.
Example 2: if we write 3/5 in fraction it is equal to 60% =3/5×100=60.
Convert Percentage into Decimal:
20% = 20/100 = 0.5
Convert Decimal into Percentage:
0.25 = (0.25 × 100) % = 25%
1.50 = (1.50 × 100) % = 150%
Here is a table of commonly used values shown in Percent, Decimal and Fraction:
Types of Formulas and Short Tricks
Type 1: 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: [R/ (100 + R)] x 100%
If the price of a commodity decreases by R%, then the increase in consumption so as not to decrease
the expenditure is: [R/ (100 – R)] x 100%
Type 2: Results on Population:
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 = P (1 + R/100) n
- Population n years ago =P/ (1 + R/100) n
Type 3: Results on Depreciation:
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 = P (1 – R/100) n
- Value of the machine n years ago = P/ [(1 – R/100)] n
- If A is R% more than B, then B is less than A by = [R/ (100 + R)] x 100%
- If A is R% less than B, then B is more than A by = [R/ (100 – R)] x 100%
Note: For two successive changes of x% and y%, net change = {x + y +xy/100} %
Attempt Percentage Quiz for SSC and Railway Exam
To enhance your practice, you can attempt these free quizzes, the link for which is provided below:
Name of Quizzes | Direct Link of Quiz |
Percentage Quiz 1 | |
Percentage Quiz 2 | |
Percentage Quiz 3 | |
Percentage Quiz 4 | |
Percentage Quiz 5 |
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