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:

P and Q invested some money in a business in the ratio of 4 : 7 respectively. After 6 months P withdraws his capital. If they receive profits in the ratio of 4 :21, then for how many months did Q invest in the business?

A) 12 B) 15
C) 18 D) 21
 
Answer & Explanation Answer: C) 18

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2 1559
Q:

P and Q started a business by investing Rs 50000 and Rs 40000 respectively. After 4 months, P withdraws Rs 20000 while Q invest Rs 70000 more after 6 months of starting the business. At the end of the year P’s share in the profit is Rs 11000. What will be the total profit (in Rs) at the end of year?

 

A) 33500 B) 27600
C) 42800 D) 38800
 
Answer & Explanation Answer: A) 33500

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1 1466
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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3 918
Q:

P started a business by the investing Rs 35000 and Q joined him after one year with an amount of Rs 21000. After two years from the starting of the business, they earned profit of Rs 26000. What will be the P’s share (in Rs) in the profit?

A) 15000 B) 18000
C) 20000 D) 16000
 
Answer & Explanation Answer: C) 20000

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7 1820
Q:

A and B invest in a business in the ratio 4 : 5. After 10 months B leaves the business after withdrawing his investment. In the first year the business made a profit of Rs 49,000. What is B's share (in Rs) of this profit?

A) 25000 B) 20000
C) 18000 D) 22000
 
Answer & Explanation Answer: A) 25000

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2 2458
Q:

A and B started a partnership business investing in the ratio of 3 : 8. C joined them after 4 months with an amount equal to 3/4th of B. What was their profit (in Rs) at the end of the year if C got Rs 24,000 as his share?

A) 120000 B) 150000
C) 90000 D) 180000
 
Answer & Explanation Answer: C) 90000

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3 2429
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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2 1080
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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