# Discount: Formulas and Shortcuts for Easy Calculations

The concept of Discount is a mere extension of Profit and Loss chapter of Quantitative Aptitude Segment.

**Learn the formulas and shortcuts of Profit and Loss**

Calculating Discount is quite a useful mathematical skill as it can be applied in your day-to-day life such as:

### • **Getting coupon discount at your meal order **

### • **Getting discount at a retail store:**

### • **Or giving discount on your own service to customers: **

Let us understand the basic concept and formulas for calculating the percentage discount quickly and effortlessly.

**DISCOUNT**:

**Discount **means reduction of marked price by a seller to sell at a lower rate. In simple words, it means concession given by a seller on a product or service.

**Discount is calculated on the basis of marked price:**

*Solved Example*

*Solved Example*

Here is an example to understand the **relationship between Marked Price, Selling Price and Discount**:

**Example: **A trader offers his customers 15% discount and still makes a profit of 25%. What is the actual cost to him for an article marked Rs. 350?

Solution: Given that Marked Price = Rs. 350

Marked Price – (Marked Price X Discount %) = Selling Price __________ (1)

And, Selling Price = Cost Price + (Cost Price X Gain %) __________________ (2)

From (1) and (2)

Marked Price – (Marked Price X Discount%) = Cost Price + (Cost Price X Gain%)

After calculation, we get, Cost Price = Rs. 238

**Learn the basic concept and formulas of Percentage**

**SUCCESSIVE DISCOUNTS: **

*Meaning***: **

*Meaning*

**DISCOUNT ON THE DISCOUNT**

*Formulas:*

*Formulas:*

Effective discount on a product after x% and y% of discount is given by:

Discount when you buy x products and get y products free is given by:

*Solved Example*

*Solved Example*

Here is an example to understand the successive discount formula:

**Example: **Find the selling price of an article if a shopkeeper allows two successive discounts of 5% each on the marked price of Rs.80.

*So, now you know how easy it is to calculate the discount even without using a calculator.*