Question

How much above the cost price should a shopkeeper mark his goods so that after allowing a discount of 25% on the marked price, He Gains 20%

Answer 1

Hlw friend,
Here's your respected answer-

Let the CP be Rs100

Gain required-20%

SP- Rs 120
Let the Marked price be RS x
Then, Discount- 25% of x
= 25/100*x
= Rs x/4
SP = (MP) - (Discount)
x-x/4 = Rs 3x/4
3x/4 = 120
x= 120*4/3
= 160
Marked price= Rs 160

Hence, the Marked price is 60% above the Cost price.

HOPE THIS HELPS YOU.....

Answer 2

let the C.P be 100
gain =20%
S.P=120
let the M.P be x
Discount =25/100*x=x/4
M.P=x-x/4=3x/4
SP = MP-Discount
x-x/4=3x/4
3x/4=120
x=120*4/3
x=160
MP=160
The shopkeeper has set the marked price 60%above cost price