Increase Percentage

How to find the increase percentage?

It can easily be understood if it is expressed as percent. We will follow the following steps to convert the increase into percent.

Step I: First find the increase in value

Step II: Divide it by the original quantity

Step III: Multiply the fraction by 100 and put percent sign (%)

Formula for finding the increase % is Increase in value/Original value × 100 %.


Note: Increase percent is calculated on the original value.


For example:

If price of milk increases from $4 per litre to $5.40 per litre.

Increase in price = $5.40 - $4 = $1.40

and increase % =  Increase in price/Original price × 100 %

                              = 1.40/4 × 100 %

                              = 140/4 %

                              = 35 %

We will apply the concept of solving some real-life problems by using the formula for finding the increase percent.


Solved examples:

1. The price of rice is increased from $10 to $12.50 per kg. Find the percentage increase in price.

Solution:

Price of rice before = $10

Price of rice now = $12.50

Increase in price = current price – original price

                       = $12.50 - $10

                       = $2.50

Therefore, percentage increase in price = Increase in price/Original price × 100 %

                                                      = 2.50/10 × 100 %

                                                      = 250/10 %

                                                      = 25 %

Thus, increase in price= 25 %


2. The population in a small town increases from 20000 to 21250 in one year. Find the percentage increase in population.

Solution:

Population in a small town last year = 20000

Population in a small town after one year = 21250

Increase in population = 21250 - 20000 = 1250

Therefore, percentage increase in population = Increase in population/Last year population × 100 %

          = 1250/20000 × 100 %

          = 125000/20000 %

          = 25/4 %

          = 6.25%

Thus, the increase in population is 6.25%


3. Find the increase value if 150 is increased by 30 %.

Solution:

Increase = 30 % of 150

             = 30/100 × 150

             = 4500/100

             = 45

Therefore, increase value = 150 + 45 = 195


4. By what number must the given number be multiplied to increase the number by 50 %.

Solution:

Let the number be m

Increase in its value = 50 % of m

                            = 50/100 × m

                            = m/2

Therefore, increase value = m + m/2

= (2m + m)/2

= 3m/2

Therefore, the given number must be multiplied by 3/2 to increase the number by 50 %.

Fraction into Percentage

Percentage into Fraction

Percentage into Ratio

Ratio into Percentage

Percentage into Decimal

Decimal into Percentage

Percentage of the given Quantity

How much Percentage One Quantity is of Another?

Percentage of a Number

Increase Percentage

Decrease Percentage

Basic Problems on Percentage

Solved Examples on Percentage

Problems on Percentage

Real Life Problems on Percentage

Word Problems on Percentage

Application of Percentage





8th Grade Math Practice

From Increase Percentage to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Types of Fractions |Proper Fraction |Improper Fraction |Mixed Fraction

    Mar 02, 24 05:31 PM

    Fractions
    The three types of fractions are : Proper fraction, Improper fraction, Mixed fraction, Proper fraction: Fractions whose numerators are less than the denominators are called proper fractions. (Numerato…

    Read More

  2. Subtraction of Fractions having the Same Denominator | Like Fractions

    Mar 02, 24 04:36 PM

    Subtraction of Fractions having the Same Denominator
    To find the difference between like fractions we subtract the smaller numerator from the greater numerator. In subtraction of fractions having the same denominator, we just need to subtract the numera…

    Read More

  3. Addition of Like Fractions | Examples | Worksheet | Answer | Fractions

    Mar 02, 24 03:32 PM

    Adding Like Fractions
    To add two or more like fractions we simplify add their numerators. The denominator remains same. Thus, to add the fractions with the same denominator, we simply add their numerators and write the com…

    Read More

  4. Comparison of Unlike Fractions | Compare Unlike Fractions | Examples

    Mar 01, 24 01:42 PM

    Comparison of Unlike Fractions
    In comparison of unlike fractions, we change the unlike fractions to like fractions and then compare. To compare two fractions with different numerators and different denominators, we multiply by a nu…

    Read More

  5. Equivalent Fractions | Fractions |Reduced to the Lowest Term |Examples

    Feb 29, 24 05:12 PM

    Equivalent Fractions
    The fractions having the same value are called equivalent fractions. Their numerator and denominator can be different but, they represent the same part of a whole. We can see the shade portion with re…

    Read More

Worksheet on Fraction into Percentage

Worksheet on Percentage into Fraction

Worksheet on Percentage into Ratio

Worksheet on Ratio into Percentage

Worksheet on Percentage into Decimal

Worksheet on Percentage of a Number

Worksheet on Finding Percent

Worksheet on Finding Value of a Percentage

Worksheet on Percentage of a Given Quantity

Worksheet on Word Problems on Percentage

Worksheet on Increase Percentage

Worksheet on Decrease Percentage

Worksheet on increase and Decrease Percentage

Worksheet on Expressing Percent

Worksheet on Percent Problems

Worksheet on Finding Percentage