Important for :

1

D

Azad invested Rs 55000 for a year and Rs 65000 for the next year.

Hind invested Rs 70000 for 8 months and Rs 60000 for the next year.

Capital Ratio = 55000 × 12 + 65000 × 12 : 70000 × 8 + 60000 × 12

= 660000 + 780000 : 560000 + 720000

= 1440000 : 1280000 = 9 : 8

Let total profit = Rs x

Azad's profit = x × 50% × 50% + x × 50% × 9/17

Hind invested Rs 70000 for 8 months and Rs 60000 for the next year.

Capital Ratio = 55000 × 12 + 65000 × 12 : 70000 × 8 + 60000 × 12

= 660000 + 780000 : 560000 + 720000

= 1440000 : 1280000 = 9 : 8

Let total profit = Rs x

Azad's profit = x × 50% × 50% + x × 50% × 9/17

32375 = | x | + | 9x |

4 | 34 |

32375 = | 35x |

68 |

x = 62900

Hence, option D is correct.

2

C

Let the total investment = Rs xMukul's investment = x × | 2 |

7 |

Rest investment = x – x × | 2 | = | 5x |

7 | 7 |

Let Atul's investment = Rs a, Rahul's investment = Rs b

Rahul's investment + Atul's investment = | 5x |

7 |

a + b = | 5x |

7 |

b = | 5x | – a ... 1 |

7 |

According to the question,

2x | + a = b |

7 |

5x | – a = | 2x | + a (value of b is taken out from equation 1) |

7 | 7 |

5x | – | 2x | = a + a |

7 | 7 |

3x | = 2a |

7 |

a = | 3x | = Atul's investment |

14 |

Rahul's investment = x – | 3x | – | 2x |

14 | 7 |

= | 14x – 3x – 4x |

14 |

= | 7x | = | x |

14 | 2 |

Investment Ratio,

Mukul : Atul : Rahul = | 2x | : | 3x | : | x |

7 | 14 | 2 |

= 4 : 3 : 7

As Atul's Profit = Rs.1530

Total profit = | 1530 | × 14 = Rs 7140 |

3 |

Hence, option C is correct.

3

4

E

Shubham's Profit = 6050 - 2750 = 3300 Rs.

Shivam's profit = 2750 Rs.

Ratio of the profit = 3300 : 2750

= 6 : 5

Because the ratio of the capital is equals to the ratio of the profit then,

2250 × 12 : 2500 × x = 6 : 5

5 ( 2250 × 12) = 6 ( 2500 × x)

x = 9 months

So Shivam invested after 3 months.

Hence, option E is correct.

Shivam's profit = 2750 Rs.

Ratio of the profit = 3300 : 2750

= 6 : 5

Because the ratio of the capital is equals to the ratio of the profit then,

2250 × 12 : 2500 × x = 6 : 5

5 ( 2250 × 12) = 6 ( 2500 × x)

x = 9 months

So Shivam invested after 3 months.

Hence, option E is correct.

5

Partnership topic is very necessary for every competitive exams like SBI Clerk Pre, IBPS Clerk Pre, IBPS RRB Pre, Railways, UIIC, LIC, NIACL, NICL, OICL and other competitive exams.

Here we are going discuss about partnership, what is partnership, tricks, tips and shortcuts to solve partnership questions fast with Examples

When two or more persons make an association to invest money together for running a certain business, then such an association is known as Partnership, and the persons involved in this partnership, are mutually called partners. There are two types of partnership.

There are also two types of partners

When the investments made by all the partners are for the same time-period, then gain or loss is distributed amongst them in the ratio of their investments.

Now, let A’s share = 3x;

B’s share = x

According to the question 3x + x = 48000

⇒ 4x = 48000

Clearly, share of B = x = Rs 12000 and share of A = 3x = 3 × 12000 = Rs 36000.

If the investments are made for different time periods, then for each partner, we calculate the capital as

(Capital × Number of units of time)

= 2 × 12 : 8 × 9 = 1 : 3

[Here, A invested for a year (12 months) and B invested 3 months later. It does not mean B invested for (12 – 3) or 9 months.]

= 4 × 12 : 5 × 8 = 6 : 5

Now, let the share of A = 6x,

And the share of B = 5x

According to the question, 6x + 5x = 22000 or 11x = 22000

and share of B = 5x = 5 × 2000 = Rs. 10000

Shares of A and B could be determined by the following method also.

A's share = | 6 | × 22000 = Rs 12000 |

6 + 5 |

B's share = | 5 | × 22000 = Rs 10000 |

6 + 5 |

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