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
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)^{n} units.These are the important facts and formulas about the partnership, mixture and alligations to solve the related problems.
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