Question

A man sold an article for rs. 495 and and gained 10% on it. Find the cost price of the article.

Answer 1

SP = 495, Gain % = 10%

we know,

SP x 100 495 x 100 495 x 100 4950
CP = ------------------ = -------------- = -------------- = ------- = Rs.450 Ans.
(100 + gain%) ( 100 + 10) 110 11


OR

Let the cost price of the article be 'x' , gain % = 10%

therefore profit = x*10% = 10x/100 = x/10

SP = CP + profit

SP = (x + x/10)

SP = (10x+x)/10

SP = 11x/10

by question 11x/10 = 495

11x=495 x 10

x= 495*10/11 = 45*10 = 450 Ans.