# Aptitude - Partnership

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- Partnership - Formulas
- Partnership - General Questions
- Partnership - Data Sufficiency 1
- Partnership - Data Sufficiency 2
- Partnership - Data Sufficiency 3

Let the total profit be Rs. 100.

After paying to charity, A's share = Rs. | 95 x | 3 | = Rs. 57. | ||

5 |

If A's share is Rs. 57, total profit = Rs. 100.

If A's share Rs. 855, total profit = | 100 | x 855 | = 1500. | ||

57 |

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's share = Rs. | 7030 x | 14 | = Rs. 2660. | ||

37 |

Ratio of initial investments = | 7 | : | 4 | : | 6 | = 105 : 40 : 36. | ||

2 | 3 | 5 |

Let the initial investments be 105*x*, 40*x* and 36*x*.

A : B : C = | 105x x 4 + |
150 | x 105x x 8 |
: (40x x 12) : (36x x 12) |
||

100 |

= 1680*x* : 480*x* : 432*x* = 35 : 10 : 9.

Hence, B's share = Rs. | 21600 x | 10 | = Rs. 4000. | ||

54 |

Let C = *x*.

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

So, *x* + *x* + 5000 + *x* + 9000 = 50000

3*x* = 36000

*x* = 12000

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

A's share = Rs. | 35000 x | 21 | = Rs. 14,700. | ||

50 |

Let their investments be Rs. *x* for 14 months, Rs. *y* for 8 months and Rs. *z* for 7 months respectively.

Then, 14*x* : 8*y* : 7*z* = 5 : 7 : 8.

Now, | 14x |
= | 5 | 98x = 40y y = |
49 | x |

8y |
7 | 20 |

And, | 14x |
= | 5 | 112x = 35z z = |
112 | x = |
16 | x. |

7z |
8 | 35 | 5 |

x : y : z = x : |
49 | x |
: | 16 | x |
= 20 : 49 : 64. |

20 | 5 |