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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