Recently we have discussed about Profit and Loss shortcut
formulas and questions, this time we will be discussing discount formulas and
questions with answers

What is discount?

Discount is a rebate which the shopkeeper gives to their
customers on selling some goods.

Note: Discount is always calculated on Print Rate (PR)

Here are some important rules and facts of discounts.

·
Selling price (SP)= Print rate – Discount

·
If the rate of discount is r%, then

SP= PR*{(100-r)/100}

·
If a shopkeeper wants to make a profit of R% and
also gives discount of r%, then

PR= CP*{(100+R)/(100-r)} where
CP= Cost Price

·
If an item is sold on consecutive discounts of
r1 %, r2 %, r3 %, then

SP=
PR[{(100-r1)/100}{(100-r2)/100}{(100-r3)/100}]

And if SP of the price is given
then

PR=
CP{(100*100*100)/(100-r1)(100-r2)(100-r3)}

·
If a shopkeeper wants to make a profit of R% and
also gives discount of r%, then that shopkeeper should write PR more than the
CP by [100(r+R)/(100-r)]

·
If on selling an item, there are two discounts
of r% and R% given on the item, then SP of the item should be

SP= PR[{(100-r)/100}{(100-R)/100}]

·
If there are two discounts on an item of r% and
R%, then equivalent discount to both of these discounts will be

= {r+R-(rR/100)}

Example:1

A shopkeeper has an item which has a print rate of 3500. The
shopkeeper sold that item with 40% profit after giving a discount of 20%, find
the CP of the item?

Solution:

Now r= 20%

and R=40%

PR= 3500

Now formula for CP

CP= PR[(100-r)/(100+R)]

CP= 3500[(100-20)/(100+40)]

CP= (3500*80)/140

CP= 2000

Example:2

Find the equivalent discount (ED) to consecutive discounts
of 20% and 30%.

Solution:

ED= r+R-(rR/100) %

ED= 20+30-{(20*30)/100} %

ED= 50-6=44 %

Hope you understand all the formulas given above and can
solve the discount problems better.

Stay updated…

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