# Profit, Loss & Discount

Posted in Terms Defined

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:

$$Profit = \frac{Profit Percent}{100} \times Cost Price$$

$$CostPrice = \frac{Profit}{ProfitPercent} \times 100$$

$$CostPrice = \frac{100}{ProfitPercent + 100} \times SalePrice$$

$$SalePrice = \frac{ProfitPercent + 100}{100} \times CostPrice$$

$$LossPercent = \frac{Loss}{CostPrice} \times 100$$

$$LossPercent = \frac{CostPrice - SalePrice}{CostPrice} \times 100$$

$$CostPrice = \frac{Loss}{LossPercent} \times 100$$

$$CostPrice = \frac{100}{100 - LossPercent} \times SalePrice$$

$$SalePrice = \frac{100 - LossPercent}{100} \times CostPrice$$

$$Discount = MarkedPrice - SalePrice$$

$$DiscountPercent = \frac{Discount}{MarkedPrice} \times 100$$

$$DiscountPercent = \frac{MarkedPrice - SalePrice}{MarkedPrice} \times 100$$

$$MarkedPrice = \frac{100}{100 - DicountPercent} \times SalePrice$$

$$SalePrice = \frac{100 - DiscountPercent}{100} \times MarkedPrice$$