Question

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

Answer 1

let the CP be Rs. 100 and MP be Rs.
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% off Marked Price
= Rs.20/100 X
= Rs. 20 x/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
СР
= Rs. 40
= Rs. (140 100)
amount marked above the CP
= Amount increased/CP 100
= 40/100 100
= 40%