Understanding Discount and Mark Up

In previous topics of the chapter we have learnt about cost and selling prices, profit and loss and their percent. In this topic, we’ll get to know about mark up and discount. Let me first tell you about mark up.


Mark up:

Every shopkeeper or a trader purchases a product at some fixed rate from a retailer. He then decides the selling price of that product according to the situation of market but one thing he keeps in mind that he should earn some profit on the product he has purchased from the retailer. To gain some profit, he increases some percent of price of the product and adds it to the price at which he bought it from the retailer. This percent of hike/increase in price is known as markup price of a product. 

It is much like percent increase.This can be represented in form of equation as:

Markup = percent of markup x store’s cost

Selling price = store’s cost + markup price

This could be understood in a better way with the help of examples.

1. A music store’s percent markup is 70%. A CD costs store for $15. Calculate the markup and the selling price of the CD.

Solution:

We know that 

Markup = percent markup x store/cost price

So, markup price of CD = 70% x $15

                                  = \(\frac{70}{100}\) x $15

                                  = $10.5

Selling price = markup price + store’s/cost price

                  = $10.5 + $15

                  = $25.5


2. A clothing store pays $80 for a jacket. The store’s markup percent is 75%. Find the markup price and selling price of the jacket.


Solution: We know that:

Markup = percent markup x store/cost price

So, markup price = 75% x $80

                         = \(\frac{75}{100}\) x $80

                         = $60


Now, Selling price = markup price + store’s/cost price

So, selling price of jacket = $60 + $80

                                    = $140.


Discount:

While shopping, we come across many amazing offers saying many off percentages on various products. Everyday such offers are offered by many stores so as to attract customers. These offers saying off percentages on products are known as discounts.

The equations in this case can be given by:

Discount = discount percent x cost/store price

Selling price = cost/store price – discount price


The concept of discount can be better understood by having a look at below given examples:

1. The cost price of a t-shirt is $90. The discount percent offered by the salesperson is 10%. Find the discount amount and selling price of the t-shirt.


Solution: We know that:

Discount amount = discount percent x cost/store price

Discount amount = 10% x $90

                                = \(\frac{10}{100}\) x $90

                                = $9

Selling price = cost/store price – discount amount

                  = $90 - $9

                  = $81.


2. The store price of a cricket bat is $80. The discount percent offered by the store is 15%. Calculate the discount amount and the selling price.


Solution: We know that:

Discount amount = discount percent x cost/store price

 Discount amount = 15% x $80

                          = $12


Also, Selling price = cost/store price – discount amount

Selling price = $80 - $12

                  = $68.


Profit and Loss

Cost Price, Selling Price and Rates of Profit and Loss

Problems on Cost Price, Selling Price and Rates of Profit and Loss

Understanding Overheads Expenses

Worksheet on Cost Price, Selling Price and Rates of Profit and Loss

Understanding Discount and Mark Up

Successive Discount

Worksheet on Discount and Markup

Worksheet on the application of overhead Expenses

Worksheet on Successive Discounts





9th Grade Math

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