FACTS  AND  FORMULAE  FOR  PARTNERSHIP  PROBLEMS

 

 

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

 

Ratio of Division of Gains:

(i) When investments of all the partners are for the same time, the gain or loss is distributed a 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.

 

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.

Q:

Rs. 490 is divided among A, B and C such that A's share is half that of B's and thrice that of C's. What is C's share?

A) Rs.49 B) Rs.147
C) Rs.294 D) Rs.245
 
Answer & Explanation Answer: A) Rs.49

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Q:

A, B and C invest in a business in the ratio 4 : 5 : 7. C is a sleeping partner, so his share of profits will be half of what it would have been if he were a working partner. If they make Rs 36,000 profit of which 25% is reinvested in the business, how much does B get (in Rs)?

A) 7560 B) 10800
C) 8640 D) 9200
 
Answer & Explanation Answer: B) 10800

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Q:

Profit of Rs 135200 has to be divided among three partners Aashay, Bhairav and Chetan in the ratio 4:3:6. How much Rs. does Chetan get?

A) 31200 B) 41600
C) 62400 D) 93600
 
Answer & Explanation Answer: C) 62400

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Q:

S, T and U started a business by investing Rs 4200, Rs 6300 and Rs 8400 respectively. S left the business after 3 months, T left 6 months after the business had started and U remained in the business till one year. At the end of one year the total profit is Rs 6000. What is the U’s share (in Rs) in the profit?

A) 4200 B) 3200
C) 4000 D) 3600
 
Answer & Explanation Answer: C) 4000

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Q:

A, B and C enter into a partnership, investing Rs. 6000. A invests Rs. 1000 and B and C invests in the ratio of 2:3. Find the profit of C, when the annual profit is Rs. 2400

A) Rs.600 B) Rs.1200
C) Rs.1800 D) Rs.1950
 
Answer & Explanation Answer: B) Rs.1200

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Q:

A, B and C invest in a business in the ratio 3 : 6 : 5. A and C are working partners. Only B is a sleeping partner hence his share will be 3/4th of what it would have been if he were a working partner. If they make Rs 50,000 profit, half of which is reinvested in the business and the other half is distributed between the partners, then how much does C get (in Rs)?

A) 20000 B) 6000
C) 10000 D) 9000
 
Answer & Explanation Answer: C) 10000

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Q:

X and Y started a business investing Rs 12000 and Rs 9000 respectively. After 4 months, X left the business and Z joined the business by investing Rs. 18000. At the end of the year, there was a profit of Rs 12500. What is the share (in Rs) of Z in the profit?

 

A) 6000 B) 4500
C) 7200 D) 7500
 
Answer & Explanation Answer: A) 6000

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Q:

A and B start an enterprise together, with A as active partner. A invests Rs 4000 and Rs 2000 more after 8 months. B invests Rs 5000 and withdraws Rs 2000 after 9 months. Being the active partner, A takes Rs 100 per month as allowance, from the profit. What is the share of B if the profit for the year is Rs 6700?

A) Rs 3350 B) Rs 3250
C) Rs 2700 D) Rs 2800
 
Answer & Explanation Answer: C) Rs 2700

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