A merchant offers 8% discount on all his goods and still

A merchant offers 8% discount on all his goods and still makes a profit of 15%. If an item is marked ₹ 250, then its cost price is

Given that , marked price = ₹ 250 , discount = 8% ,
profit = 15%
Let C.P. of article = y
According to question,

92% of marked price =	115	× C.P.
	100

∴	250 × 92	=	115y
	100		100

⇒ 115y = 250 × 92

⇒ y =	250 × 92	= ₹ 200
	115

Second method to solve this question :
Here, r = 15%, D = 8%, M.P. = ₹ 250, C.P. = ?
Using the given formula ,

M.P.	=	100 + r
C.P.	=	100 − D

250	=	100 + 15
C.P.	=	100 − 8

C.P. =	250 × 92	= ₹ 200
	115