# Partnership

## Partnership

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Question 1 |

A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:

Rs. 1425 | |

Rs. 1500 | |

Rs. 1537.50 | |

Rs. 1576 |

Question 1 Explanation:

Let the total profit be Rs. 100.
After paying to charity, A's share = Rs.95 x(3/5)= Rs. 57.
If A's share is Rs. 57, total profit = Rs. 100.
If A's share Rs. 855, total profit =(100/57)x 855= 1500.

Question 2 |

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.

Rs. 1900 | |

Rs. 2660 | |

Rs. 2800 | |

Rs. 2840 |

Question 2 Explanation:

For managing, A received = 5% of Rs. 7400 = Rs. 370.
Balance = Rs. (7400 - 370) = Rs. 7030.
Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3) ==>39000 : 42000 : 30000 ==> 13 : 14 : 10
B'share = Rs.7030 x(14/37)= Rs. 2660.

Question 3 |

A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:

Rs. 8400 | |

Rs. 11,900 | |

Rs. 13,600 | |

Rs. 14,700 |

Question 3 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 x(21/50) = Rs. 14,700.

Question 4 |

Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

5 : 7 : 8 | |

20 : 49 : 64 | |

38 : 28 : 21 | |

None of these |

Question 4 Explanation:

Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.
Then, 14x : 8y : 7z = 5 : 7 : 8.
Now, 14x/8y = 5/7 ==> 98x = 40y ==> y =49/20x
And, 14x/7z = 5/8 ==> 112x = 35z ==> z =112/35 x =16/5x.
==>x : y : z = x : 49/20x : 16/5x ==> 20 : 49 : 64.

Question 5 |

A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?

Rs. 7500 | |

Rs. 8000 | |

Rs. 8500 | |

Rs. 9000 |

Question 5 Explanation:

Let B's capital be Rs. x.
Then, (3500 x 12)/7x = 2/3
==> 14x = 126000 ==> x = 9000.

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