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:

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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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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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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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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