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:

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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Q:

A man has 3 sons, 2 daughters and a wife. They divided a sum of Rs 19000 among themselves such that each daughter got 1.5 times the amount received by each son and his wife received 600 less than each son. What is the total amount (in Rs) received by the 3 sons together?

A) 2800 B) 3600
C) 5600 D) 8400
 
Answer & Explanation Answer: D) 8400

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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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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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Q:

Umar and Avinash started a partnership with investments of Rs. 10000 and Rs. 15000, respectively. But due to a financial emergency the latter had to withdraw his investment after 8 months. In what ratio should the profit of the first twelve months be shared among the duo?

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

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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:

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:

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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