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 invest in a business in the ratio 4 : 5 : 7. C is a sleeping partner, so his share of profits will be half of what it would have been if he were a working partner. If they make Rs 36,000 profit of which 25% is reinvested in the business, how much does B get (in Rs)?

A) 7560 B) 10800
C) 8640 D) 9200
 
Answer & Explanation Answer: B) 10800

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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 1548
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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10 1917
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 1598
Q:

Two businessmen A and B invest in a business in the ratio 5 : 8. They decided to reinvest 30% of the profit they earned back into the business. The remaining profit they distributed amongst themselves. If A's share of the profit was Rs 87,500 then how much profit (in Rs) did the business make?

A) 227000 B) 250000
C) 375000 D) 325000
 
Answer & Explanation Answer: D) 325000

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0 1200
Q:

A, B and C invest in a business in the ratio 3 : 6 : 5. A and C are working partners. Only B is a sleeping partner hence his share will be 3/4th of what it would have been if he were a working partner. If they make Rs 50,000 profit, half of which is reinvested in the business and the other half is distributed between the partners, then how much does C get (in Rs)?

A) 20000 B) 6000
C) 10000 D) 9000
 
Answer & Explanation Answer: C) 10000

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2 1134
Q:

A starts a cement trading business by investing Rs 5 lakhs. After 2 months, B joins the business by investing Rs 10 lakhs and then 4 months after B joined C too joins them by investing Rs 20 lakhs. 1 year after A started the business they make Rs 3,50,000 in profit. What is B's share of the profit (in Rs)?

A) 75000 B) 1,25,000
C) 1,50,000 D) 1,00,000
 
Answer & Explanation Answer: B) 1,25,000

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1 1023
Q:

A's income is Rs 140 more than B's income and C's income is Rs 80 more than D's. If the ratio of A's and C's income is 2:3 and the ratio of B's and D's income is 1:2, then the incomes of A, B, C and D are respectively

A) Rs 260, Rs 120, Rs 320 and Rs 240 B) Rs 300, Rs 160, Rs 600 and Rs 520
C) Rs 400, Rs 260, Rs 600 and Rs 520 D) Rs 320, Rs 180, Rs 480 and Rs 360
 
Answer & Explanation Answer: C) Rs 400, Rs 260, Rs 600 and Rs 520

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