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Maths Query > Things to Remember > Formulas

Profit and Loss Formulas

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Profit, loss, selling price, cost price, marked price and discount formulas

Abrreviations used in the following formulas:

SP \(\implies\) selling price
CP \(\implies\) cost price
MP \(\implies\) marked price
d \(\implies\) discount
\(d_1\) \(\implies\) first discount %age
\(d_2\) \(\implies\) second discount %age
\(d_3\) \(\implies\) third discount %age

\(Profit = SP \; – \;CP\) \(Loss = CP \;-\; SP\) \(Profit\; \% = \frac{Profit}{CP} \times 100\) \(Loss \;\% = \frac{Loss}{CP} \times 100\) \(SP = (\frac{100 \;+\; Profit \;\%}{100}) \times CP\) \(CP = (\frac{100}{100 \;+\; Profit \;\%}) \times SP\) \(SP = (\frac{100 \;- \;Loss \;\%}{100}) \times CP\) \(CP = (\frac{100}{100 \;- \;Loss \;\%}) \times SP\) \(Discount = MP \;-\; SP\) \(SP = MP \;-\; Discount\) \(MP = SP \;+\; Discount\) \(SP = (\frac{100 \;-\; Discount \;\%}{100}) \times MP\) \(MP = (\frac{100}{100 \;-\; Discount \;\%}) \times SP\) \(SP = (\frac{100 \;-\; d_1}{100})(\frac{100 \;-\; d_2}{100})(\frac{100 \;-\; d_3}{100}) \times MP\) \(Single \;discount \;as \;percent = MP\; -\; SP\)
Last updated on: 29-09-2023
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