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June 29th, 2018, 05:21 AM   #1
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Why we need to calculate two extra SP's i.e 120 and 7680 ?

A shopkeeper sells an article at a discount of 25% on the Marked price and makes a profit of 20% If the selling price of the article is Rs 7200, then how much discount should he offer on the marked price to make a profit of 28%?

Solution:

Let cp=100, sp=120 then mp=160
120-----7200
1-----60
cp=6000
sp=7200
mp=9600
New sp=60*128=7680
DISCOUNT =9600-7680=1920

My doubts: Why we need to derive two extra SP's i.e 120 and 7680 for this problem ?

How MP = 9600 is obtained?

Last edited by skipjack; June 29th, 2018 at 07:45 AM.
Ganesh Ujwal is offline  
 
June 29th, 2018, 07:38 AM   #2
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As the Rs 7200 price = MP(1 - 25/100), MP = Rs 7200(1 - 25/100) = Rs 9600.

For a 28% profit, SP = Rs 7200(1 + 28/100)/(1 + 20/100) = Rs 7680,
so the discount is now Rs (9600 - 7680) = Rs 1920, which is 20% of the MP.
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