Question 282751
There are many methods to solve this problem.

let the marked price be x

he wants to give discount of 10%

So his sale price will be x-x/10 

when the sale price is 112.5 the cost price will be 100  (12.5 % he wants to add profit)

when the sale price is (x-x/10) the cost price will be

(x-x/10) *100  / 112.5  = 160  ( cost price)

[(10x-x /10)* 100] / 112.5 =160


[(9x/10)*100] =160*112.5

9x/10 =  160 *112.5 / 100

9x= 10* 160*112.5 / 100 

x= 10*160*112.5/100* 9 


x=200

This will be the marked price  $200