Table of Contents
Discount
A markdown is a sort of value allowance in items that is seen in customer exchanges, where the purchasers have proposed a level of discounts on different items to help deals. This refund presented by the merchant to purchaser is known as a rebate.
Discount = Marked Price – Selling Price
Marked Price (List Price)
The cost on the name of an article/item is known as the obvious cost or rundown cost. This is the cost at which item is expected to be sold. Notwithstanding, there can be some rebate given on this cost and genuine selling cost of the item might be not exactly the undeniable cost. It is for the most part meant by MP.
Basic Formulae Related to Discount

Selling price = Marked price – Discount
where, r% is the rate of discount allowed
Note Discount is always calculated with respect to marked price of an article
Successive Discount
When a series of discounts (one after the other) are allowed on marked price of an article, then
these discounts are called successive discounts.
Let r1%, r2%, r3%……be the series of discounts on an article
with marked price of Rs. P, then the selling price of the article after all the discounts is given as

Example. A shopkeeper on the eve of Diwali allowed a series of discount on television sets. Find the selling price of a television set, if the marked price of television is ? 1000 and successive discounts are 10% and 5%.

Tricks -1.
Single discount equivalent to two successive discounts r1% and r2%
Example. What will be a single equivalent discount for successive discounts of 10% and 5% on marked price of an article?
Tricks -2.
Single discount equivalent to three successive discounts r1%, r2%and r3%

Example. What is the single equivalent discount for successive discounts of 10%, 20% and 15% on marked price for motor bike?

Tricks – 3
If a shopkeeper wants a profit of R% after allowing a discount of

Example. The marked price of a bicycle is Rs. 1100. A shopkeeper allows a discount of 10% and get a profit of 10%. Find the cost price of the bicycle.

Tricks -4.
A merchant fixes the marked price of an article in such a way that after allowing a discount of r%, he earns a profit of R %. Then, marked price of

Example. A shopkeeper allows a discount of 10% on the marked price of calculator. then by what per cent higher than cost price, should marked the price, so as to gain 20% on selling it at the discount?

Tricks-5
If a shopkeeper allows a discount of r1% on an article and marked price of the article is r% more than the cost price, then profit or loss per cent in this transaction
=\ \frac{r\times(100-r_1)}{100}\ \ -r_1
Note Positive value shows a profit, while negative value shows loss
Example. A shopkeeper marked the price 10% more than its cost price. If he allows a discount of 20%, then find his loss per cent.
Here = 20% and r = 10%
Loss\ or\ Profit\ per\ cent = \ \frac{r\times(100-r_1)}{100}\ \ -r_1 = \frac{10\times(100-20)}{100}\ \ -20 =\frac{10\times80}{100}\ \ -20\\ =-20\%
Loss per cent = 12%