Often when we go for shopping we would like to go for discounts. Many a times we come across the discount tags before the shop as 20 % off , 30 % off etc. These off tags gives us the idea about how much Percentage off is there for the original price of an item. Instead of spending 100 % amount on an item there will be some deductions or off in percentage on each original price.

Percentage off  can be calculated using formula

Percentage off calculator is a online tool to calculate the percentage off or the reduction in price for a particular selling item. It is a online tool to calculate the discount price in percentage for a given sale price and original price for an item.

## Percentage Off Problems

Lets see how to calculate the percentage off in a given problem
Step 1 : Read the given problem and observe the sale price and original price.

Step 2 :
The percentage off is given by
Percentage off % = (1 - $\frac{Sale Price}{Original Price}$) $\times$ 100 %

Substitute the values and get the answer.

Lets go through some solved problems on calculations of Percentage off.

### Solved Examples

Question 1: Jim buys a shirt for 400 Rs in a sale. If its original price is Rs 600, Calculate its discount rate.
Solution:

Given: Original Price of the shirt = Rs 600
Sale Price of the shirt = Rs 400

The Percentage off is given by
Percentage off = (1 - $\frac{Sale Price}{Original Price}$) $\times$ 100 %

= (1 - $\frac{400}{600}$) $\times$ 100 %

= (1 - 0.6667) $\times$ 100 %
= 0.333 $\times$ 100 %
= 33.33%

$\therefore$ 33.33% off is there on the shirt.

Question 2: A Whole sale was put in a market on groceries. Mary buys Milk, jam and sugar for Rs 100. If their marked price as a whole is Rs 125, Calculate the Percentage off?
Solution:

Given: Original Price for the item = Rs 125
Sale Price for the item = Rs 100
The Percentage off is given by
Percentage off = (1 - $\frac{Sale Price}{Original Price}$) $\times$ 100 %

= (1 - $\frac{100}{125}$) $\times$ 100 %

= (1 - 0.8) $\times$ 100 %
= 0.2 $\times$ 100 %
= 20 %

$\therefore$ 20 % off is there on the groceries.

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