# Profit and Loss

**Selling Price: **The price at which an article is sold, is called its *selling price*, abbreviated as S.P.

**Loss:** If S.P. is less than C.P., the seller is said to have incurred a *loss.*

**Cost Price: **The price at which an article is purchased, is called its *cost price*, abbreviated as C.P.

**Profit or Gain: **If S.P. is greater than C.P., the seller is said to have a *profit or gain*.

**Loss = cost price - selling price**

**Gain in percentage = (gain*100)/cost price**

If gain and cost price is given we can calculate selling price by following formula

**Selling price = {(100+gain percentage)/100} * cost price**

If gain and selling price is given we can calculate selling price by following formula

**Selling price = {100/(100+gain percentage)} * selling price**

**If an article is sold at a gain of say, 35%, then S.P. = 135% of C.P.**

When a person sells two similar items, one at a gain of say,

**Loss in percentage = [(common loss and gain in percentage)/10] ^{2} = [x/10]^{2}**

If a trader professes to sell his goods at a profit of

**Gain in percentage = [{(x+y)/(100-y)}*100]%**

If a trader professes to sell his goods at a loss of

**GainLoss in percentage = [{(y-x)/(100-y)}*100]%**