Question

if aman sells an artcile for Rs 1600 he inesures a loss equal to the profit if he sells that artcile for Rs2000.find the cp of that artcile

Answer 1

Not sure, but I think you mean:

If a man sells an article for Rs 1600 he insures a loss equal to the profit if he sells that article for Rs2000. Find the cost of that article.

If that is your question then . . .

(Rs1600 - Cost) = -(Rs2000 - Cost)

Thus, Cost = Rs3600/2 = Rs1800

Answer 2

Let the loss or profit be x, Cost Price be CP and Selling Price be SP. So SP-profit is equal to SP +loss. SP-x = SP+x. Substituting Rs2000-x=1600+x. So 2x=400 and x =Rs200. So loss or profit is Rs200 and CP is Rs1800