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 sum of Rs 15525 is divided among Sunil, Anil and Jamil such that if Rs 22, Rs 35 and Rs 48 be diminished from their shares respectively, their remaining sums shall be in the ratio 7:10:13. What would have been the ratio of their sums if Rs 16, Rs 77 and Rs 37 respectively were added to their original shares?

A) 9:13:17 B) 18:26:35
C) 36:52:67 D) None of these
 
Answer & Explanation Answer: C) 36:52:67

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1 1430
Q:

A and B start an enterprise together, with A as active partner. A invests Rs 4000 and Rs 2000 more after 8 months. B invests Rs 5000 and withdraws Rs 2000 after 9 months. Being the active partner, A takes Rs 100 per month as allowance, from the profit. What is the share of B if the profit for the year is Rs 6700?

A) Rs 3350 B) Rs 3250
C) Rs 2700 D) Rs 2800
 
Answer & Explanation Answer: C) Rs 2700

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0 940
Q:

A,B and C together start a business. Three times the investment of A equals four times the Investment of B and the Capital of B is twice that of C. The ratio of share of each in the profit.

A) 8:3:6 B) 3:8:6
C) 3:6:8 D) 8:6:3
 
Answer & Explanation Answer: D) 8:6:3

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1 917
Q:

Profit of Rs 1,03,500 has to be divided between three partners A, B and C in the ratio 11:7:5. How much amount (in Rs) does B get?

A) 22,500 B) 49,500
C) 50,500 D) 31,500
 
Answer & Explanation Answer: D) 31,500

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0 833
Q:

Rs. 490 is divided among A, B and C such that A's share is half that of B's and thrice that of C's. What is C's share?

A) Rs.49 B) Rs.147
C) Rs.294 D) Rs.245
 
Answer & Explanation Answer: A) Rs.49

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1 1152
Q:

Mohit and Anshu invested some money in a business in the ratio 8 : 15 respectively. After 9 months Mohit withdraws his capital. If they receive profits in the ratio 4 : 5, then for how many months did Anshu invest in the business?

A) 4 B) 5
C) 8 D) 6
 
Answer & Explanation Answer: D) 6

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3 1138
Q:

U and V started a business by investing amounts Rs 184000 and Rs 224000 respectively. If U’s share in the profit received at the end of year is Rs 20700, then what will be the total profit (in Rs) earned by them together?

A) 43200 B) 45900
C) 52300 D) 56400
 
Answer & Explanation Answer: B) 45900

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0 991
Q:

A sum of Rs 2489 is divided among A, B and C such that if Rs 12, Rs 12 and Rs 5 be diminish from the shares of A, B and C respectively, then theirshares will be in the ratio of 5 : 3 : 4. What is the new share (in Rs) of C?

A) 750 B) 1060
C) 1475 D) 820
 
Answer & Explanation Answer: D) 820

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