How can I find Gross Margin and COGS knowing Sales, Profit, Discount, Product Quantity, Shipping Cost?

Question

I have an E-Commerce dataset. How can I find Gross Margin and COGS knowing Sales, Profit, Discount, Product Quantity, Shipping Cost?

Answer 1

Gross Margin = Sales - Discount - COGS / Sales - Discount: That is Eq 1

Profit = Sales - Discounts - COGS - Shipping Costs that is Eq2.

From Eq2 you can find out COGS.

Substitute COGS in Eq1 and that is GM. Product Quantity is information that is not required here in this approach.