Question

If a person sold his article at 20 % profit after giving a discount of 20% ,but by mistake he calculated the profit on sum of CP and SP and discount on SP then find the rise mark up price (price above cp )​

Answer 1

Given  :  a person sold his article at 20 % profit after giving a discount of 20% ,but by mistake he calculated the profit on sum of CP and SP and discount on SP

To find : the rise mark up price (price above cp )​

Solution:

Let say  Cost Price   = C

Marked price  = M

Let say  Sell Price  = S

20 % Discount on SP   = (20/100) S = 0.2S

Marked Price = Sell price + Discount

=> M  = S + 0.2S

=> M = 1.2S

20 % Profit  on CP & SP     =  (20/100) (C  + S)  

= 0.2 (C + S)

Profit  = SP  - CP    

=> 0.2(C + S)  =   S  -  C

=> 1.2C  =  0.8S

=>  S  = 1.5C

M = 1.2S  = 1.2 (1.5C)  = 1.8C

Marked price = 1.8C

Cost Price  = C

rise mark up price   =100 *   ( 1.8C - C)/C  = 80 %

80 %  rise mark up price (price above cp )​

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