# PERCENT OF A NUMBER

## About "Percent 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 percent 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.

## Percent of a number - Practice Questions

Problem 1 :

What is 20% of 50 ?

Solution :

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

m  =  20 % x 50

m  =  0.2 x 50

m  =  10

Hence, 20 % of 50 is 10

Let us look at the next problem on "Percent of a number"

Problem 2 :

What is 35% of 600 ?

Solution :

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

m  =  35 % x 600

m  =  0.35 x 600

m  =  210

Hence, 35 % of 600 is 210

Let us look at the next problem on "Percent of a number"

Problem 3 :

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 x 5000  =  1000

Income for 3  years :

=  3 x 1000

=  3000

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

Let us look at the next problem on "Percent of a number"

Problem 4 :

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 x 2500  =  375

Income of 2.5 years :

=  2.5 x 375

=  937.50

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

Let us look at the next problem on "Percent of a number"

Problem 5 :

What percent of 700 is 210 ?

Solution :

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

m % of 700  =  210

(m / 100) x 700  =  210

7m  =  210

m  =  30

Hence, 30% of 700 is 210

Let us look at the next problem on "Percentage of a number"

Problem 6 :

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) x 500  =  75

5m  =  75

m =  15

Target : m % of 700

m % of 700  =  15 % of 700

=  0.15 x 700

=  105

Hence, m % of 700 is 105

Let us look at the next problem on "Percent of a number"

Problem 7 :

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 x 7500  =  (m/100) x 12500

2250  =  125m

2250 / 125  =  m

18  =  m

Hence, the percentage of income of B is 18 %

Let us look at the next problem on "Percent of a number"

Problem 8 :

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 % x 350

=  0.25 x 350

=  87.5

Hence, the required profit is \$87.50

Let us look at the next problem on "Percentage of a number"

Problem 9 :

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) x 125  =  6.25

m  =  (6.25/125) x 100

m  =  5

Hence, the profit percentage is 5 %

Let us look at the next problem on "Percentage of a number"

Problem 10 :

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 x 30  =  (m/100) x 60

6  =  3m / 5

5/3 x 6  =  m

10  =  m

Hence, the value of "m" is 10

More Quantitative Aptitude Topics

1. Problems on Numbers

2. HCF and LCM Problems

3. HCF and LCM Word Problems

4. LCM and HCF Calculator

5. Problems on Trains

6. Time and Work problems

7. Time and Distance Problems

8. Problems on Ages

9. Problems on Average

10. Problems on Boats and Streams

11. Problems on Ratio and Proportion

12. Allegation and mixture

13. Percentage word problems

14. Problems on Partnership

15. Simple Interest Problems

16. Compound Interest Problems

17. Permutation and Combination Problems

18. Calendar Problems

19. Formulas for shapes

20. Mensuration

21. Clock Problems

22. Word Problems on Simple Equations

23. Word Problems on Simultaneous Equations

25. Word Problems on Quadratic equations

26. Pipes and Cisterns Shortcuts

27. Surds and Indices

If you need any other stuff in math, please use or google custom search here.

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations

Word problems on linear 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