Explanation:

Let the cost price of the product be xx.

In the case of a 19% loss, the selling price is:
⇒SP1=x−0.19x=0.81x

In the case of a 17% profit, the selling price is:
⇒SP2=x+0.17x=1.17x

The increase in selling price is given as Rs 162:
⇒SP2−SP1=162
⇒1.17x−0.81x=162
⇒0.36x=162
⇒x=162/0.36=450

Thus, the cost price of the product is Rs 450.