Step 1 : Read the given problem and observe the initial amount and raised amount (Final amount).

Step 2 : Find the Percentage increase using the formula

Percentage increase = $\frac{Final\ amount\ -\ Initial\ amount}{Initial\ amount}$ $\times$ 100 %

Substitute the values in above formula and get the answer.

### Solved Examples

**Question 1: **A washing machine having price of 10000 Rs is put on sale for 9000 Rs. Calculate how much is the change in percentage.

** Solution: **

Given: Initial amount = 10000 Rs and Final amount = 9000 Rs

Change in amount = 10000 - 9000 = - 1000 Rs

The change in percentage

Percentage change = $\frac{Final\ amount\ -\ Initial\ amount}{Initial\ amount}$ $\times$ 100%

= $\frac{9000 - 10000}{10000}$ $\times$ 100%

= - 0.1 $\times$ 100 %

= - 10 %

The percentage decrease in bike is 10 %.

**Question 2: **A milk packet having a price of 40 Rs has been raised to 45 Rs in 2 months. Calculate its Percentage increase.

** Solution: **

Given: Initial amount = 40 Rs and Final amount = 45 Rs

Increased amount = 45 - 40 = 5 Rs

Percentage Increase = $\frac{Final\ amount\ -\ Initial\ amount}{Initial\ amount}$ $\times$ 100%

= $\frac{5}{40}$ $\times$ 100%

= 0.125 $\times$ 100 %

= 12.5 %

The percentage increase is 12.5%.