# Profit and Loss

Cost Price (CP)

It is the price at which an item is bought.

Selling Price (SP)

It is the price at which an item is sold.

Profit

If Selling Price is greater than Cost Price, then the seller makes Profit.

Profit = SP – CP

Loss

If Cost Price is greater than Selling Price, then the seller incurs loss.

Loss = CP – SP

Formula

Profit % = $\frac { \left ( SP \:- \:CP \right ) }{CP} \times 100$
Loss % = $\frac { \left ( CP \:- \:SP \right ) }{CP} \times 100$
$CP = \frac {SP \:\times \:100}{\left ( 100 \:+ \:Profit \:\%\right )}$
$CP = \frac {SP \:\times \:100}{\left ( 100 \:- \:Loss \:\%\right )}$
$SP = \frac {CP \:\times \:\left ( 100 \:+ \:Profit \:\% \right )}{100}$
$SP = \frac {CP \:\times \:\left ( 100 \:- \:Loss \:\% \right )}{100}$
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