Discounts and Markups Formulas | List of Discounts and Markups Formulas You Should Know - BYJUS (2024)

Example 1:

Determine the discount Bob received on a chair if the selling price is $6 and the list price is $10.

Solution:
It is given that, original price = $10 and sale price = $6.


Discount = Original price – Sale price.


Discount = $10 – $6
= $4.

As a result, Bob got a $4 discount.

Example 2:

The price tag on a T-shirt said $30 but Daniel only paid $20 because there was a discount. Calculate the discount.

Solution:
It is given that, original price = $30 and sale price = $20.


Therefore, discount = original price sale price


= $30 – $20


= $10

As a result, Daniel received a $10 discount.

Example 3:

A store pays $65 for a belt. Further, a 35% markup is applied on it. How much does John pay for the belt?

Solution:

Mark up = 35% × 65

= 0.35 × 65

= 22.75

Selling price = Cost to store + Markup


= 65 + 22.75


= 87.75

As a result, John purchases the belt for $87.75.

Example 4:

You go shopping for your mother and spend $120 on a pair of earrings. You find out later that the price had been increased by 20 %. What was the price of the earrings purchased by the store?

Solution:

Let the cost to store be C.

Markup = Markup% × Cost to store


= 20% × C


= 0.20 C

Cost to store = Selling price – Markup

C = 120 – 0.20C

C + 0.20C = 120

1.20C = 120

C = \(\frac{120}{1.20}\)= $100

As a result, the cost to store is $100.

Example 5:

If a software costs $2000, a shopkeeper applies a 40% discount on the software for computers on account of Black Friday. Calculate the sale price of the software.

Solution:
Discount = Discount % \(\times\) original price

Discount = 40 % × 2000

= \(\frac{40}{100}\)× 2000

= 800

Discount = Original price – Sale price

800 = 2000 – Sale price

Sale price = 2000 – 800

Sale price = 1200

As a result, the sale price of the game is $1200.

Discounts and Markups Formulas | List of Discounts and Markups Formulas You Should Know - BYJUS (2024)
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