Question

An article is sold for rs.260 at a gain. Had it been sold for Rs. 200 there would have loss equal to 50% of the original gain, find the cost price of the article.​

Answer 1

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.