# Partnership Questions

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:

3 brothers divided Rs. 1620 among them in such a way that the share of second is equal to 5/13 of share of other two, combined. What is the share of the second one?

 A) Rs. 1170 B) Rs. 450 C) Rs. 540 D) Rs. 500

Explanation:

2 1639
Q:

Rs 3200 is divided among A, B and C in the ratio of 3 : 5 : 8 respectively. What is the difference (in Rs) between the share of B and C?

 A) 400 B) 600 C) 800 D) 900

Explanation:

1 1603
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

Explanation:

9 1564
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

Explanation:

1 1531
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

Explanation:

2 1477
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

Explanation:

0 1472
Q:

Two partners M and N buy a car. M pays his share of 3/7th of the total cost of the car. M pays Rs. 31,540 less than N. What is the cost of the car?

 A) Rs. 2,32,680 B) Rs. 2,03,175 C) Rs. 2,20,780 D) Rs. 1,85,780

Explanation:

5 1451
Q:

A, B and C enter into a partnership, investing Rs. 6000. A invests Rs. 1000 and B and C invests in the ratio of 2:3. Find the profit of C, when the annual profit is Rs. 2400

 A) Rs.600 B) Rs.1200 C) Rs.1800 D) Rs.1950