# Arithmetic Aptitude :: Partnership

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## Important Formulas

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Partnership:

Â Â Â Â Â Â Â Â Â  When two or more than two persons run a business jointly, they are called partners and the deal is known as partnership.

Ratio of Divisions of Gains:

Â Â Â Â Â Â Â  1. When investments of all the partners are for the same time, the gain or loss is distributed among the partners in the ratio of their investments.

Â Â Â Â Â Â Â  Suppose A and B invest Rs. x and Rs. y respectively for a year in a business, then at the end of the year:

Â Â Â Â Â Â Â  (A's share of profit) : (B's share of profit) = x : y.

Â Â Â Â Â Â Â  2. When investments are for different time periods, then equivalent capitals are calculated for a unit of time by taking (capital x number of units of time). Now gain or loss is divided in the ratio of these capitals.

Â Â Â Â Â Â Â  Suppose A invests Rs. x for p months and B invests Rs. y for q months then,

Â Â Â Â Â Â Â  (A's share of profit) : (B's share of profit)= xp : yq.

Working and Sleeping Partners:

Â Â Â  A partner who manages the the business is known as a "working partner" and the one who simply invests the money is a "sleeping partner".

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