#### Various profit and loss formulas used in profit and loss:

**1)**Generally, profit is calculated as:

Profit or gain = Selling price(S.P) - Cost price(C.P)

**2)**Similarly, Loss = Cost price - Selling price

**3)**Gain percentage(%) =

__Gain__* 100

C.P

**4)**Loss percentage(%) =

__Loss__* 100

C.P

**5)**There is a direct relationship between selling price and cost price:

**S.P. =**

100

S.P. =

100

__100 + Gain percentage__* C.P. (In case of gain)100

S.P. =

__100 - Loss percentage__* C.P. (In case of loss)100

For Example :

If an article is sold at gain of 27%, then by using first formula , you can find that S.P. is 127% of C.P.Similarly, If an article is sold at loss of 18%, then by using second formula , you can find that S.P. is 82% of C.P.

**6)**If a person sells two commodities at same prices. On one he gains x% and loses x% on another, then as a whole he will be in loss and the loss percentage will be equal to:

100 10

__(Common gain or loss percentage)^2__=__x^2__100 10

Note: Here is an example to find gain in case of dishonesty.

Problem 1:

**A dishonest dealer professes to sell his goods at cost price but he uses a weigh 960 grams for 1 kg. How too calculate gain percentage?**

Solution:

Gain percentage =

__Error__* 100 =

__40__* 100 (Ans in %)

True value - Error 960