Question

a man sold an article for 495rs and gained 10% on ot.find the cp of article

Answer 1

SP = 495 

P% = 10% 

CP = SP x 100/(100+P%) 

=495 x 100/(100+10) 

=495 x 100/110 

=450

Answer 2

Let the C.P of the article be Rs x
The 10% of x = 10/100 * x = x/10
Therefore the Selling Price = x + x/10
A/q, 
=> Selling price = 495
=> x + x/10 = 495
=> (10x + x)/10 = 495
=> 11x/10 = 495
=> 11x = 4950
=> x = 4950/11
=> x = 450
So, the Cost Price (CP) of the article = Rs x = Rs 450