In business math, it’s important to know about partnership, mixture and alligations. The topic is under arithmetic and here we will discuss about the important facts and formulas.

**Partnership** is an important deal
when two or more than two persons invest or run a business jointly, they are
called partners. If
in a partnership

If x

If p

**Alligation **is the
rule that help us to find the required mixture of a desired price when two or
more ingredients are mixed in a definite ratio at the given price

**Mean price** is the
cost price of a unit quantity of the mixture.

**Rules of** **Alligation**

Suppose two ingredients are mixed at the given prices are known, then the ratio in which these two are mixed to obtain a mixture of a known price is given by

Quantity of cheaper __________________ = Quantity of dearer |
Cost price of dearer - Mean Price ____________________________ Mean price - Cost price of cheaper |

*The above relationship
can also be represented as under:*

**Hence, (cheaper
quantity) : (dearer quantity) = (d - m) : (m - c)**

Suppose a container contains x units of liquids from which y units of liquids is taken out, and is replaced with y units of water, the process being repeated n times, then the final quantity of the liquid in the container is given by

x(1 - y/x)These are the important facts and formulas about the partnership, mixture and alligations to solve the related problems.

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