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

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

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

To find the cost price (CP) of the article, we need to set up an equation based on the given information.

Let's assume the cost price of the article is 'x' rupees.

According to the given information, if Aman sells the article for Rs 1600, he incurs a loss equal to the profit he would have made if he sold it for Rs 2000.

When Aman sells the article for Rs 1600, the loss incurred will be the difference between the cost price and the selling price:

Loss = CP - Selling Price

Loss = x - 1600

According to the given information, if Aman sells the same article for Rs 2000, he would make a profit equal to the loss he incurred when he sold it for Rs 1600. So, the profit in this case would also be x - 1600.

Now, we can set up an equation using the information given:

Profit = CP - Selling Price

x - 1600 = x - 2000

Simplifying the equation:

-1600 = -2000

Taking -2000 to the other side:

-1600 + 2000 = -2000 + 2000

400 = 0

The equation results in 400 = 0, which is not possible.

So, according to the given information, it is not possible to determine the cost price (CP) of the article.