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 %.
Percentage of the given Quantity
How much Percentage One Quantity is of Another?
Real Life Problems on Percentage
8th Grade Math Practice
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