Percent and Example Problems:

Percent and Example Problems:

The term percent in math is used to represents the fraction number and also we represent the term with denominator 100.For example:3/6 =50 /100 .Then the percentage of the given fraction number as 50%.and the fraction number 3/6 can be represented as a decimal as 0.50, 3/6,50% and 0.50 are represents the same..

Let us now learn about the uses of Percentages,its is important to understand the uses of a Percentage.
Percentages are used to express how large/small one quantity is, relative to another quantity. The first quantity usually represents a part of, or a change in, the second quantity, which should be greater than zero. For example, an increase of $ 0.15 on a price of $ 2.50 is an increase by a fraction of 0.15 / 2.50 = 0.06. Expressed as a percentage, this is therefore a 6% increase.

Example Problems to Find Percentage in Math:

As we know percentages have various uses altogether,but let us now look at the most common uses of a percentage.Percentage is mostly used in banking sector to find the interest.The formula to find interest is,
Interest =Principle amount x time x rate of interest.The easiest way to learn about percentages is by solving a few problems related to Percentages

Example 1:
Suppose we need to find the interest will $2000 earn in one year at an annual interest rate of 5%
Solution:
5% = 5 /100
(5/100 ) x 2000 =100
So the answer is $

Example 2:
Find the interest if amount if $1000 and month is 6 and rate of interest is 6%
Solution:
Interest =Amount x time x rate of interest.
Note : 6 month = ½ of years.
Therefore,
6% =>6/100 or 3/50
Substitute these values into interest formula. We get,
Interest = $1000 x ½ x 6/100
=$1000 x1/2 x 3/50
=$500 x 3/50
=$10 x 3
=$३०

Example 3:
There are 45 boys out of 90 students in the class room. Find the percentage of boys in the class room.
Solution:
Total students =90
Out of these 90 students 45 students are boys ,it is represented in terms of fraction.
= 45/90 [fraction form]
Convert the fraction into percentage,
So multiply the fraction number by 100,we get,
(45/90) * 100
=50%
Example 4:
40 percent of X = 200 then find x?
Solution:
40 % * X =200
40 x */100 =200
40x =200 *100
40x = 20000
X =20000/40
X= 2000/4
X=500
Therefore, X value = 500
Verification:
40 percent of 500 =200
(40 x 500)/100 =200
20000/100 =200
200 =200
Hence Verified.

Hope you like the above example of Percents.Please leave your comments, if you have any doubts.