# Finding Discounts

**Discount** is **a given on the Marked Price (MP) of the article**.

This is generally given to attract customers to buy goods or to promote sales of the goods. **You can find the discount by subtracting its sale price from its marked price**.

So,

**Discount** = **Marked price** – **Sale price**

**Example 2: An item marked at ₹ 840 is sold for ₹714. What is the discount and discount % ?**

- We have the given values: Marked price: ₹
and Selling Price: ₹ - Since discount is on marked price, we will have to use marked price as the base.
- On marked price of ₹ 840, the discount is ₹
. - Now, using the discount percentage formula: we get discount % of
- Calculating discount.
- We have found the required values.

**Example 3: The list price of a frock is ₹ 220. A discount of 20% is announced on sales. What is the amount of discount on it and its sale price.**

- Marked price is same as the list price.
- 20% discount means that on ₹ 100 (MP), the discount is ₹
. - On 220, discount =
× 220 = ₹20 100 - Sale price = ₹ 220 – ₹ 44 = ₹
- We have found the sale price.

## TRY THESE

**Q1**

**1. A shop gives 20 % discount. What would the sale price of each of these be?**

**(a) A dress marked at Rs. 120**

**(b) A pair of shoes marked at Rs. 750**

**(c) A bag marked at Rs. 250**

To find the sale price after a 20 % discount, we can use the formula:

Sale Price = Marked Price × ( 1 −

Where the discount is 20%.

**(a) A dress marked at Rs. 120**

Sale Price =

Sale Price = 120 ×

Sale Price =

**So, the sale price of the dress is Rs. 96.**

**(b) A pair of shoes marked at Rs. 750**

Sale Price =

Sale Price = 750 ×

Sale Price =

**So, the sale price of the shoes is Rs. 600.**

**(c) A bag marked at Rs. 250**

Sale Price =

Sale Price = 250 ×

Sale Price =

**So, the sale price of the bag is Rs. 200.**

**Q2**

**2. A table marked at Rs. 15,000 is available for Rs. 14,400. Find the discount given and the discount per cent.**

The **discount is the difference between the marked price and the selling price**:

**Discount = Marked Price − Selling Price**

Here: Marked Price = Rs.

Discount = 15000 − 14400 =

**So, the discount given is Rs. 600.**

The discount percentage is calculated as:

Discount % =

**So, the discount percentage is 4 %.**

**Q3**

**3. An almirah is sold at Rs. 5,225 after allowing a discount of 5 %. Find its marked price.**

To find the marked price of the almirah, we can use the formula that relates the selling price, discount percentage, and marked price:

Selling Price =

Here: Selling Price = Rs.

Let the marked price be M.

Thus, 5225 = M ×

5225 = M ×

**So, the marked price of the almirah is Rs. 5,500.**

## Estimation in percentages

Your bill in a shop is ₹ 577.80 and the shopkeeper gives a discount of 15%. **How would you estimate the amount to be paid ?**

**You could therefore reduce your bill amount by ₹ 87 or by about ₹ 85, which will be ₹ approximately**.

**Try estimating 20% of the same bill amount.**

**Thus, the amount to be paid becomes ₹ 462.24.**

**Try finding 15% of ₹ 375.**

**So, 15% of ₹375 is ₹56.25.**