# 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) 20000 | B) 40000 |

C) 60000 | D) 80000 |

Explanation:

Suppose Y invested Rs. y. Then 40000/y = 2/3 or y = 60000 .

A) 12628 | B) 18245 |

C) 11235 | D) 10253 |

Explanation:

Ratio of their shares = (35000 * 8) : (42000 * 10) = 2 : 3.

Reena's share Rs. 31570 * (2 / 5) = Rs. 12628.

A) Rs. 240 | B) Rs. 75 |

C) Rs. 125 | D) Rs. 354 |

Explanation:

The ratio of A & B investments = (3x8 + 2x4):(4x8 + 5x4)

=> 8:13

=> 8/21 x 630 = 240.

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.

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.

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.