Percent in Math

The term percent in math is used to represent a value relative to hundred.  The same comparison can be expressed as a fraction if we compare a value with respect to another value. If the second value is 100, then we call it as percentage. For example:3/6 , Here we consider 3 relative to 6. If we consider relative to 100, it becomes 50 /100, we call this as 50 percent and is represented as 50 % .

If you need to convert a number into percentage, then multiply the number by 100 and put % symbol.

Now, Let us discuss about some example on percentages

Example problems to find percentage in math:

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.



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 $100

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

=$30

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.


Practice problems to find percentage in math :

1)10 percent of p =100 find P?

Answer: 10

2) Find the interest will $5000 earn in one year at an annual interest rate of10%

Answer : 500