Question

how much per cent above the cost price should a shopkeeper mark his goods so that after allowing a discount of 20% on the marked price ,he gain 12%

Answer 1

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let the CP be Rs. 100 and MP be Rs. x
gain % after discount = 12%
gain = 12% of 100 = Rs. 12
⇒ SP of the article = CP + Gain 
= Rs. (100 + 12) = Rs. 112
Discount % = 20%
Discount = 20% of Marked Price
 = Rs.20/100 * x 
= Rs. 20x/100 
= Rs. x/5
as da question says
marked Price - discount = SP
=> x - x/5 = 112
=> (5x - x)/5 = 112
=> 4x/5 = 112
=> x = 112 * 5/4 = Rs. 140
marked Price = Rs. 140
amount marked above the CP = MP - CP 
= Rs. (140 - 100) 
= Rs. 40
∴ % amount marked above the CP 
= Amount increased/CP * 100 
= 40/100 * 100 
= 40%