Finding Marked Price and List Price

Marked Price: The price on the label of an article/product is called the marked price. This is the price at which product is intended to be sold. However, there can be some discount given on this price and the actual selling price of the product may be less than the marked price.

List Price: Electric goods, electronic and other things which are manufactured in a factory are marked according to the price list supplied by the factory, at which the retailer is supposed to sell them. This price is known as the list price.

Remark: Discount is given on the marked price only.

Illustration1: Namitha offers a discount of 20% on all the items at her shop and still makes a profit of 12%. What is the cost price of an article marked at Rs 280?

Solution: We have the Marked Price = Rs 280.

Also we have the Discount = 20% of Rs 280.

So the selling price = M.P. - Discount

                             = Rs (280 – 56)

                              = Rs 224.

Let the cost price = Rs x

 Profit = 12% of Rs x

      .

So selling price = cost price + profit

According to the Question

.

Hence the cost price = Rs 200

Illustration 2: A shopkeeper marks his goods at such a price that after allowing a discount of 12.5% for cash payment, he still makes a profit of 10%. ind the marked price of an article which costs him Rs 245.

Solution:  We have,

C.P. of the article = Rs 245 and Gain = 10%

So, S.P. =

                = Rs 269.50

Let the marked price be Rs 100. Then,

Discount allowed = 12.5% of M.P.

                          = Rs 12.5

So, S.P. of the article = M.P. - Discount

                               = Rs 100 - Rs 12.5

                              = Rs 87.5

Thus, When S.P. is Rs 87.5, M.P. = Rs 100

When S.P. is Re 1, M.P.

 When S.P. is Rs 269.50, M.P.

                                           = Rs 308

Hence, marked price of the article is Rs 308.