# 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.

A) 10110 | B) 10500 |

C) 12000 | D) 13000 |

Explanation:

Simran : Nanda = (50000 * 36) : (80000 * 30) = 3 : 4.

Simran's share = Rs. ( 24500 * 3/7) = Rs. 10500.

A) 150 | B) 160 |

C) 170 | D) 180 |

Explanation:

A : B : C = 7 : 8 : 11.

Hire charges paid by B = Rs. (520 * 8/26) = Rs. 160.

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) 2 : 3 : 5 | B) 3 : 4 : 7 |

C) 5 : 6 : 4 | D) 1 : 3 : 5 |

Explanation:

A : B : C = (40000 x 36) : (80000 x 12 + 40000 x 24) : (120000 x 24 + 40000 x 12)

= 144 : 192 : 336

= 3 : 4 : 7.

A) Rs. 45,000 | B) Rs. 50,000 |

C) Rs. 70,000 | D) Rs. 75,000 |

Explanation:

Sekar: Rajeev: jatin = (25000×12+35000×12+45000×12):(35000×24) : (35000×12)

= 1260000 : 840000 : 420000

= 3 : 2 : 1.

Rajeev's Share =Rs.(150000×2/6)

=Rs.50000.

A) 14700 | B) 15000 |

C) 12000 | D) 13500 |

Explanation:

Let C = x. Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.

So, x + x + 5000 + x + 9000 = 50000 <=> 3x = 36000 <=>

x = 12000.

A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.

A's share = Rs. (35000 * 21/50 ) = Rs. 14,700.

A) Rs. 7500 | B) Rs. 8000 |

C) Rs. 8500 | D) Rs. 9000 |

Explanation:

Let B's capital be Rs. *x*.

Then,$\left[\frac{3500\times 12}{7x}=\frac{2}{3}\right]$

=> 14*x* = 126000

*=> x* = 9000.