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, B and C received an amount of Rs 8400 and distributed among themselves in the ratio of 6 : 8 : 7 respectively. If they save in the ratio of 3 : 2 : 4 respectively and B saves Rs 400, then what is the ratio of the expenditures of A, B and C respectively?

A) 6 : 8 : 7 B) 8 : 6 : 7
C) 9 : 14 : 10 D) 12 : 7 : 9
 
Answer & Explanation Answer: C) 9 : 14 : 10

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Q:

A and B started a partnership business investing in the ratio of 3 : 8. C joined them after 4 months with an amount equal to 3/4th of B. What was their profit (in Rs) at the end of the year if C got Rs 24,000 as his share?

A) 120000 B) 150000
C) 90000 D) 180000
 
Answer & Explanation Answer: C) 90000

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Q:

Three partners A, B and C share profit such that three times the share of A is equal to two times the share of B and equal to 12 times the share of C. What is the ratio of the profits of A, B and C respectively?

A) 3 : 2 : 12 B) 12 : 2 : 3
C) 4 : 6 : 1 D) 1 : 6 : 4
 
Answer & Explanation Answer: C) 4 : 6 : 1

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Q:

A man who recently died left a sum of Rs. 3,90,000 to be divided among his wife, five sons and four daughters. He directed that each son should receive 3 times as much as each daughter receives and that each daughter receives and that each daughter should receive twice as much as their mother receives. What was the wife’s share?

A) Rs. 14,000 B) Rs. 12,000
C) Rs. 10,000 D) Rs. 9,000
 
Answer & Explanation Answer: C) Rs. 10,000

Explanation:
Let his wife get a share of Rs x
Each of the 4 daughters get = Rs 2x
Each of the 5 sons get = Rs 6x
So x + 4*2x + 5*6x = 390000
So 39x = 390000
X=10000 = wife’s share
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Q:

A started a business with the capital of Rs 1800. After 4 months B joined with Rs 3600. 6 months after the business started C joined with Rs 1200.If the total profit earned at the end of the year is Rs 1760, then what is the share (in Rs) of A?

A) 540 B) 660
C) 840 D) 720
 
Answer & Explanation Answer: B) 660

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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:

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 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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