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:

A starts a taxi service by investing Rs 25 lakhs. After 3 months, B joins the business by investing Rs 40 lakhs then 4 months after B joined, C too joins them by investing Rs 50 lakhs. One year after A started the business they make Rs 2,73,000 in profit. What is C's share of the profit (in Rs)?

A) 100000 B) 1,25,000
C) 75000 D) 1,50,000
 
Answer & Explanation Answer: C) 75000

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1 1583
Q:

3 brothers divided Rs. 1620 among them in such a way that the share of second is equal to 5/13 of share of other two, combined. What is the share of the second one?

A) Rs. 1170 B) Rs. 450
C) Rs. 540 D) Rs. 500
 
Answer & Explanation Answer: B) Rs. 450

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2 1552
Q:

C and D started a business by investing Rs 4000 and Rs 5000 respectively. After 3 months, C withdraws Rs 1000 while D invest Rs 1000 more after 6 months of the starting of business. At the end of the year C’s share is Rs 3900. What will be the total profit (in Rs) at the end of year?

A) 7800 B) 10500
C) 8400 D) 12200
 
Answer & Explanation Answer: B) 10500

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1 1520
Q:

A sum of Rs 15525 is divided among Sunil, Anil and Jamil such that if Rs 22, Rs 35 and Rs 48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7:10:13. What would have been the ratio of their sums if Rs 16, Rs 77 and Rs 37 respectively were added to their original shares?

A) 9:13:17 B) 18:26:35
C) 36:52:67 D) None of these
 
Answer & Explanation Answer: C) 36:52:67

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1 1475
Q:

Mohan invested Rs. 100000 in a garment business. After few months, Sohan joined him with Rs. 40000. At the end of the year, the total profit was divided between them in ratio 3 : 1. After how many months did Sohan join the business?

A) 3 B) 2
C) 4 D) 5
 
Answer & Explanation Answer: B) 2

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11 1453
Q:

Rs 3200 is divided among A, B and C in the ratio of 3 : 5 : 8 respectively. What is the difference (in Rs) between the share of B and C?

A) 400 B) 600
C) 800 D) 900
 
Answer & Explanation Answer: B) 600

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1 1427
Q:

Kishlay travelled equal distances at speeds of 10 kmph, 30kmph and 2 kmph and took a total time of 38 min. Find the total distance in kms.

A) 2 B) 3
C) 1 D) 4
 
Answer & Explanation Answer: B) 3

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2 1409
Q:

A sum of Rs 2489 is divided among A, B and C such that if Rs 12, Rs 12 and Rs 5 be diminish from the shares of A, B and C respectively, then theirshares will be in the ratio of 5 : 3 : 4. What is the new share (in Rs) of C?

A) 750 B) 1060
C) 1475 D) 820
 
Answer & Explanation Answer: D) 820

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