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Aptitude ➤ Partnership
1. Partnership: When two or more than two persons run a business jointly, they are called partners and the deal is known as partnership.

2. Ratio of Division of Gains:

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

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

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

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

3. Working and Sleeping Partners: A partner who manages the business is known as a working partner and the one who simply invests the money is a sleeping partner.

Question 1
Q1.  Ramesh and Suresh are partners in a business . Ramesh invests Rs. 35,000 for 8 months and Suresh invests Rs 42,000 for 10 months. Out of a profit of Rs 31,570, Ramesh's share is ?
Question 2
Q2.  A, B and C started a business by investing Rs. 1,20,000, Rs. 1,35,000 and Rs.1,50,000 respectively. Find the share of B, out of an annual profit of Rs. 56,700.
Question 3
Q3.  Mukesh started a business investing Rs. 45,000. After 3 months, Ranbir joined him with a capital of Rs. 60,000. After another 6 months, Ronald joined them with a capital of Rs. 90,000. At the end of the year, they made a profit of Rs. 16,500. Find the share of Ronald.
Question 4
Q4.  Deepak, Suresh and Sakti start a business each investing Rs. 15,000. After 4 months Deepak withdrew Rs.5000, Suresh withdrew Rs. 3000 and Sakti invests Rs. 5000 more. At the end of the year, a total profit of Rs. 25,800 was recorded. Find the share of Sakti.
Question 5
Q5.  A, B and C enter into partnership. A invests 3 times as much as B and B invests two-third of what C invests. At the end of the year, the profit earned is Rs. 6600. What is the share of C ?

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