PERCENTAGE OF A NUMBER

Percentage of a Number :

In this section, we are going to learn, how to find percentage of a number.

Percent of a number - Explanation

To have better understanding on percent of a number, let us consider the following example.

" 30 percent of 500 "

30 percent means the value 30 is considered for one hundred.

If 30 is the value considered for 100, what value can be considered for 500 ?

It can be calculated as follows.

30 % x 500  =  0.3 x 500  =  150

The picture given below clearly illustrates "How to find percentage of a number"

Here, the "Wh" question "what" has always to be replaced by some variable, say m. Sometimes, we will have the above question in a different method. It has been illustrated in the picture given below. Percentage of a Number - Practice Problems

Problem 1 :

What is 20% of 50 ?

Solution :

Let us replace "what" by some variable, say "m"

m  =  20%  50

m  =  0.2  50

m  =  10

Hence, 20% of 50 is 10.

Problem 2 :

If 20% of 30 is equal to m% of 60, find the value of "m".

Solution :

From the given information, we can have

20% of 30  =  m% of 60

0.2  30  =  (m/100)  60

6  =  3m / 5

5/3  6  =  m

10  =  m

Hence, the value of "m" is 10.

Problem 3 :

If m percent of 500 is 75, what is m% of 700 ?

Solution :

Our first aim is to get the value of "m"

Given : "m" percent of 500 is 75

(m/100)  500  =  75

5m  =  75

m  =  15

Target : m% of 700

m% of 700  =  15 % of 700

=  0.15  700

=  105

Hence, m% of 700 is 105.

Problem 4 :

David gets 20% income on \$5000 investment per year. At the same rate, what is his income in 3 years ?

Solution :

Income for one year :

20% of 5000  =  0.2  5000  =  1000

Income for 3  years :

=  3  1000

=  3000

Hence, David's income for 3 years is \$3000.

Problem 5 :

John gets 15% income on \$2500 investment per year. At the same rate, what is his income for 2.5 years ?

Solution :

Income for one year :

15% of 2500  =  0.15  2500  =  375

Income of 2.5 years :

=  2.5  375

=  937.50

Hence, John's income for 2.5 years is \$937.50

Problem 6 :

A gets 30% income on \$7500 investment per year. If B gets the same income on \$12500 investment per year, what is the percentage of income of "B" ?

Solution :

Let "m" be the  percentage of income of B

From the given information, we have

30% of 7500  =  m% of 12500

0.3  7500  =  (m/100)  12500

2250  =  125m

2250/125  =  m

18  =  m

Hence, the percentage of income of B is 18%.

Problem 7 :

A trader gets 25% profit on all the products. If the cost price of a particular product is \$350, find his profit.

Solution :

Given : 25% profit on all the products

So, profit on \$350  =  25%  350

=  0.25  350

=  87.5

Hence, the required profit is \$87.50

Problem 8 :

A trader gets \$6.25 profit on a product whose cost price is \$125.

What is profit percentage ?

Solution :

Let "m" be the required percentage.

From the given information, we can have

m% of 125  =  6.25

(m/100)  125  =  6.25

m  =  (6.25/125)  100

m  =  5

Hence, the profit percentage is 5%. After having gone through the stuff and examples, we hope that the students would have understood, how to find percent of a number.

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

You can also visit our following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6 