# Profit, Loss & Discount

Cost Price = CP

Sale Price = SP

If SP > CP it is profitable situation. Therefore, Profit (P) = SP - CP

If SP < CP it is a loss making situation. Therefore, Loss (L) = CP - SP

\( Profit Percent = \frac{Profit}{Cost Price} \times 100 \)

\( Profit Percent = \frac{Sale Price - Cost Price}{Cost Price} \times 100 \)

On rearranging the above formulas we get the following:

\( Profit = \frac{Profit Percent}{100} \times Cost Price \)

\( CostPrice = \frac{Profit}{ProfitPercent} \times 100 \)

\( CostPrice = \frac{100}{ProfitPercent + 100} \times SalePrice \)