Profit and Loss

The cost price of an article is C.P, the selling price is S.P and the marked price is M.P

• Profit (Loss) = S.P – C.P
• % Profit (Loss) = Profit (Loss)/C.P *100
• Discount = M.P – S.P
• % Discount = Discount/M.P * 100
• Total increase in price due to two subsequent increases of X% and Y% is (X+Y+XY/100)%

A dishonest dealer claims to sell his goods at cost price, but he uses a weight of lesser weight, then the gain% = $$=\ \ \frac{\ true\ weight\ -\ false\ weight}{false\ weight}\times\ 100\%$$

A dishonest dealer sells an item at a profit of x % and uses a weight that is y % less, then the gain%  $$=\ \ \frac{\ \%\ profit\ +\ \%\ less\ in\ weight}{100-\ \%\ less\ in\ weight}\times\ 100\%$$

When there are two successive profits of $$x\%$$ and $$y\%$$ then the net percentage profit $$=\ \dfrac{\ x+y+xy}{100}$$.

When there is a profit of $$x\%$$ and loss of $$y\%$$ then net percentage profit or loss $$=\ \dfrac{\ x-y-xy}{100}$$