# Profit, Loss, Discount and Different Prices Formulas

## Abbreviations used in the following formulas:

SP ⇒ selling price
CP ⇒ cost price
MP ⇒ marked price
d ⇒ discount
d1 ⇒ first discount %age
d2 ⇒ second discount %age
d3 ⇒ third discount %age

## Summary of important profit and loss formulas

Profit = SP – CP Loss = CP – SP $\text{Profit%}=\frac{\text{Profit}}{\text{CP}}×100$ $\text{Loss%}=\frac{\text{Loss}}{\text{CP}}×100$ $\text{SP}=\left(\frac{100 + Profit%}{100}\right)×CP$ $\text{CP}=\left(\frac{100}{100 + Profit%}\right)×SP$ $\text{SP}=\left(\frac{100 – Loss%}{100}\right)×CP$ $\text{CP}=\left(\frac{100}{100 – Loss%}\right)×SP$ Discount = MP – SP SP = MP – Discount MP = SP + Discount $\text{SP}=\left(\frac{100 – Discount%}{100}\right)×MP$ $\text{MP}=\left(\frac{100}{100 – Discount%}\right)×SP$ $\text{SP}=\left(\frac{100–{d}_{1}}{100}\right)\left(\frac{100–{d}_{2}}{100}\right)\left(\frac{100–{d}_{3}}{100}\right)×MP$ Single discount as percent = MP – SP
Last updated on: 15-06-2024