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:

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 2067
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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2 2011
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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2 1990
Q:

Sunil and Gopal are partners in a business. Sunil invests Rs.20,000 for 9 months and Gopal invests Rs. 30,000 for 12 months. Find the share of Sunil from the total profit of Rs. 60,000.

A) Rs.15000 B) Rs.18000
C) Rs.25000 D) Rs.20000
 
Answer & Explanation Answer: D) Rs.20000

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2 1987
Q:

A and B started a partnership business investing some amount in the ratio of 5 : 6. C joined then after 6 months with an amount equal to 2/3rd of B. What was their profit (in Rs) at the end of the year if C got Rs 21,600 as his share?

A) 46800 B) 56160
C) 70200 D) 1,40,400
 
Answer & Explanation Answer: D) 1,40,400

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2 1871
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 1870
Q:

U and V started a business by investing amounts Rs 184000 and Rs 224000 respectively. If U’s share in the profit received at the end of year is Rs 20700, then what will be the total profit (in Rs)earned by them together?

A) 43200 B) 45900
C) 52300 D) 56400
 
Answer & Explanation Answer: B) 45900

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0 1853
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 1817