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Formulas For Profit And Loss
Formulas for Profit and Loss Questions
Important Formulas for Profit and Loss are given here on this page.
Cost Price – The price at which a commodity or object is bought at known as Cost Price
Selling Price – The price at which the commodity is sold at known as Selling Price
What is Profit :- Ex.If a shopkeeper brings a cloth for Rs.100 and sells it for Rs.120, then he has made a profit of Rs.20/-.
What is Loss:- If a salesperson has bought a textile material for Rs.300 and he has to sell it for Rs.250/-, then he has gone through a loss of Rs.50/-.
Formulas for Profit and Loss
- Cost Price – It is basically the price at which a commodity or object is bought at. e.g. Shopkeeper buying Sugar from Farmer to sell in his grocery store. In its short form it is denoted as C.P.
- Selling Price – The price at which the commodity is sold at. e.g. Shopkeeper selling sugar to his customer. In its short form is denoted as S.P.
- Gain or Profit – If Cost Price is lesser than Selling Price, gain is made.
- Loss – If Cost price is greater than the Selling price, Loss is incurred.
Other Important Formulas for Profit and Loss
1. C.P in case of gain:
\left (\frac{100}{100 + Gain} \right )\times S.P
2. C.P in case of Loss:
\left (\frac{100}{100 – Loss} \right )\times S.P
3. S.P in case of Gain:
\left (\frac{100 + Gain}{100} \right )\times C.P
4. S.P in case of Loss:
\left (\frac{100 – Loss}{100} \right )\times C.P
Other Important Formulas
1. If you sell two items at same selling price “s” first at x% profit and 2nd one at x% loss. Then a loss is incurred always, which is given by
( \frac{x}{10})^2
2. Discount Percentage :
\left ( \frac{Discount}{Marked \: Price} \right )\times 100
3. Successive discounts:
If d1% , d2% d3%are successive discounts on marked price,
Selling price=marked price \left ( \frac{100-d_{1}}{100}\right )\times \left ( \frac{100-d_{2}}{100}\right )\times \left ( \frac{100-d_{3}}{100}\right )
Note:
(a) If there is no discount, the marked price is equal to the selling price
(b) Discount is always calculated on marked price unless otherwise stated.
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