Profit and Loss Formulas

#Category / ConceptFormula / Rule
1Gain (Profit)$Gain = S.P. – C.P.$
2Loss$Loss = C.P. – S.P.$
3Baseline RuleLoss or Gain is always reckoned on Cost Price (C.P.).
4Gain Percentage$Gain \% = \left( \frac{Gain \times 100}{C.P.} \right)$
5Loss Percentage$Loss \% = \left( \frac{Loss \times 100}{C.P.} \right)$
6Selling Price (Gain)$S.P. = \frac{(100 + Gain \%)}{100} \times C.P.$
7Selling Price (Loss)$S.P. = \frac{(100 – Loss \%)}{100} \times C.P.$
8Cost Price (Gain)$C.P. = \frac{100}{(100 + Gain \%)} \times S.P.$
9Cost Price (Loss)$C.P. = \frac{100}{(100 – Loss \%)} \times S.P.$
10Gain ShortcutIf sold at a gain of 35%, then $S.P. = 135\% \text{ of } C.P.$
11Loss ShortcutIf sold at a loss of 35%, then $S.P. = 65\% \text{ of } C.P.$
12Common Gain & LossWhen selling two items (one at $x\%$ gain and one at $x\%$ loss), the seller always incurs a loss:
$Loss \% = \left( \frac{x}{10} \right)^2$
13False Weights$Gain \% = \left[ \frac{Error}{(True\ Value) – (Error)} \times 100 \right] \%$
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