Question

A shopkeeper is allowing a discount of 20% on his goods, how much percent above the cost price should he mark his goods, so that after allowing a discount on the marked price, he gains 25%?​

Answer 1

Step-by-step explanation:

Here's ur answer:-

Let the CP be x

P% = 25 % ( so r = 25)

=> SP = x ( 1 + 25/100)

=> SP = x × 5/4

=> SP = 5x/4

So,

which is :-

mp = SP/(4/5) = (5x/4)/4/5 = 25x/16

Let that MP is y % above CP

=> MP = CP + y% of CP

=>MP = CP ( 1+ y/100)

=> MP/CP = 1+ y/100

=> (25x/16)/x = 1 + y/100

=> 25/16 = 1+ y/100

=> 1+ y/100 = 25/16

=>y/100 = 25/16 -1 = (25-16)/16 = 9/16

=> y = 9/16 × 100 = 225/16 % =14 whole 1/16 %