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 %.
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8th Grade Math Practice
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