# 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.

Let the total profit be Rs.x

60% of the profit =

from this part of the profit each gets = Rs.

40% of the profit =

Now, this amount of Rs. has been divided in the ratio of capitals 1250 : 850 = 25 :17

Share on first capital =

Share on second capital =

Total money received by 1st investor =

Total money received by 2nd investor =

x = 393.75

Hence total profit = Rs. 393.75

A) Rs.700 | B) Rs.800 |

C) Rs.900 | D) Rs.1000 |

Explanation:

Let 4A = 6B = 1OC = k. Then, A = k/4, B = k/6, and C =k/10 .

A : B :C = k/4 : k/6 : k/10 = 15 : 10 : 6.

Hence, C's share (4650 * 6/31) = Rs, 900.

A) Rs. 45 | B) Rs. 50 |

C) Rs. 55 | D) Rs. 60 |

Explanation:

A:B:C = (10×7):(12×5):(15×3)

= 70 :60 :45

= 14 :12 :9

C's rent = Rs.(175×9/35)

=Rs. 45.

A) 22000 | B) 28000 |

C) 32000 | D) 36000 |

Explanation:

Suppose **B** invested Rs. x for y months. Then, A invested Rs. 3x for 2y months.

So, A : B = (3x * 2y) : (x * y) = 6xy : xy = 6 : 1.

B's profit : Total profit = 1 : 7.

Let the total profit be Rs. x Then, 1/7 = 4000/x or x = 28000.