Question

how much percent of the cost price should A shopkeeper marks his goods 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. 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%

Hope it helped you.

Thanks.

Regards,

Sahil.(^-^)