Answer:
Let the CP be ₹x,
SP = ₹200
Loss = CP – SP
= x – 200
Loss % = (x–200) / x × 100%
According to the question,
(x–200) / x × 100 = 50
=> (x–200) / x = 50 /100
=> 100(x–200) = 50x [ cross multiplication]
=> 100x – 20000 = 50x
=> – 20000 = 50x – 100x
=> –20000 = –50x
=> 20000/50 = x
=> x = 400
Thus, the cost price of the article is ₹400.
