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 and B invest in a business in the ratio 2 : 5. If 50% of the total profit goes to charity and A's share is Rs 3.6 lakhs, the total profit is Rs __________ lakhs.

A) 12.6 B) 25.2
C) 37.8 D) 16.8
 
Answer & Explanation Answer: B) 25.2

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Q:

Rs 6300 is divided among A, B and C in the ratio of 1/2 : 1 : 3/5. What is the share (in Rs) of B?

A) 3300 B) 2700
C) 3000 D) 4200
 
Answer & Explanation Answer: C) 3000

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Q:

A sum of Rs 3170 is divided among X, Y and Z such that if Rs 13, Rs 12 and Rs 18 will be diminished from the shares of X, Y and Z respectively, then their shares will be in the ratio 20 : 18 : 21. What is the initial share (in Rs) of Z?

A) 1131 B) 1530
C) 910 D) 1350
 
Answer & Explanation Answer: A) 1131

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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 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:

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:

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 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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