Profit, Loss & Discount

At a glance 10 formulas

1. 1Profit and loss %$\text{profit}\ \% = \dfrac{SP - CP}{CP} \times 100$$\text{loss}\ \% = \dfrac{CP - SP}{CP} \times 100$
2. 2Discount %$\text{discount}\ \% = \dfrac{MP - SP}{MP} \times 100$
3. 3Cost from selling price$CP = SP \times \dfrac{100}{100 + p}$$\text{at a loss: } CP = SP \times \dfrac{100}{100 - l}$
4. 4Mark-up then discount$\dfrac{SP}{CP} = \left(1 + \dfrac{m}{100}\right)\left(1 - \dfrac{d}{100}\right)$
5. 5Successive discounts$\text{single} = d_1 + d_2 - \dfrac{d_1 d_2}{100}$
6. 6Mark-up needed$MP = CP \times \dfrac{100 + p}{100 - d}$
7. 7Equal selling price$\text{loss}\ \% = \dfrac{x^2}{100}$
8. 8False weight$\text{gain}\ \% = \dfrac{\text{true} - \text{false}}{\text{false}} \times 100$$x\%\ \text{profit},\ y\%\ \text{short} \Rightarrow \dfrac{x + y}{100 - y} \times 100$
9. 9Margin vs mark-up$\text{on CP} = \dfrac{m}{100 - m} \times 100\%$
10. 10Cost equals selling price$\text{profit}\ \% = \dfrac{x - y}{y} \times 100$