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:

Two partners M and N buy a car. M pays his share of 3/7th of the total cost of the car. M pays Rs. 31,540 less than N. What is the cost of the car?

A) Rs. 2,32,680 B) Rs. 2,03,175
C) Rs. 2,20,780 D) Rs. 1,85,780
 
Answer & Explanation Answer: C) Rs. 2,20,780

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Q:

Tapan, Ravi and Trisha shared a cake. Tapan had 1/4 of it, Trisha had 2/3 of it and Ravi had the rest. What was Ravi's share of the cake?

A) 4/7 B) 1/12
C) 1/6 D) 2/6
 
Answer & Explanation Answer: B) 1/12

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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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Q:

The central Government granted a certain sum towards flood relief to 3 states A, B and C in the ratio 2 : 3 : 4. If C gets Rs. 400 Crores more than A, what is the share of B?

A) Rs. 400 crore B) Rs. 200 crore
C) Rs. 600 crore D) Rs. 300 crore
 
Answer & Explanation Answer: C) Rs. 600 crore

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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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Q:

P starts a business with Rs 14000. After 8 months Q joins P with Rs 8000. After 3 years, what will be the ratio of the profit of P and Q?

A) 12 : 5 B) 9 : 4
C) 14 : 9 D) 15 : 8
 
Answer & Explanation Answer: B) 9 : 4

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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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Q:

X starts a business with Rs 80000. After 6 months Y joins X with Rs 100000. After 2 years, what will be the ratio of profit of X and Y?

A) 16 : 15 B) 4 : 5
C) 8 : 9 D) 14 : 15
 
Answer & Explanation Answer: A) 16 : 15

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