# 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) Rs 200 | B) Rs 300 |

C) Rs 400 | D) Rs 500 |

Explanation:

Let C = x.

Then B = x/2

and A = x/4

A:B:C = 1:2:4.

C's share Rs.[(4/7)*700) = 400

A) A = 48000 B = 40000 C = 30000 | B) A = 30000 B = 40000 C = 48000 |

C) A = 30000 B = 48000 C = 40000 | D) A = 40000 B = 48000 C = 30000 |

Explanation:

Compound ratio of A:B:C

A:B = 3:4

B:C = 5:6

----------

A:B:C = 15:20:24

We can divide Rs.118000 in this ratio.

Share of A = 15/59 x 118000 = 30000

Share of B = 20/59 x 118000 = 40000

Share of C = 24/59 x 118000 = 48000

A) Rs. 7500 | B) Rs. 4520 |

C) Rs. 8750 | D) Rs. 6350 |

Explanation:

Arun : Varun : Akhil = (20000 x 24) : (15000 x 24) : (20000 x 18) = 4:3:3

B's share = 25000 x 3/10 = Rs. 7500.

A) Rs. 90500 | B) Rs. 87500 |

C) Rs. 88900 | D) Rs. 90000 |

Explanation:

Ratio of investments for 1 year

=> (P : Q : R) = (2x2 + 2.4x10) : (3x2 + 3.3x10) : (5x12)

=> (P : Q : R) = 28 : 39 : 60

Now R share = 190500 x 60/127 = Rs. 90000.

A) Rs. 4050 | B) Rs. 2121 |

C) Rs. 5040 | D) Rs. 3550 |

Explanation:

Let the ratio amount be 'p'

7p - 3p = 2700

4p = 2700

p = 675

R's Share = 675 × 6 = Rs. 4050

A) Rs. 1640 | B) Rs. 2500 |

C) Rs. 2160 | D) Rs. 3000 |

Explanation:

=> 60x5 : 36x6 : 75x3

=> 100 : 72 : 75

=> 72/247 x 7410 = Rs. 2160

A) 16547 | B) 17212 |

C) 14875 | D) 27848 |