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Aptitude - Partnership - Discussion

@ : Home > Aptitude > Partnership > Data Sufficiency 2 - Discussion

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"Forgiveness is a virtue of the brave."
- Indira Gandhi
Directions to Solve

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

1. 

How much did Rohit get as profit at the year-end in the business done by Nitin, Rohit and Kunal?

I. 

Kunal invested Rs. 8000 for nine months, his profit was times that of Rohit's and his investment was four times that of Nitin.

II. 

Nitin and Rohit invested for one year in the proportion 1 : 2 respectively.

 III. 

The three together got Rs. 1000 as profit at the year end.

[A]. Only I and II
[B]. Only I and III
[C]. Question cannot be answered even with the information in all the three statements.
[D]. All I, II and III
[E]. None of these

Answer: Option A

Explanation:

I and II give:

   K = Rs. (8000 x 9) for 1 month = Rs. 72000 for 1 month.

   N = Rs. 1 x 8000 x 12 for 1 month = Rs. 24000 for 1 month.
4

   R = Rs. 48000 for 1 month.

K : N : R = 72000 : 24000 : 48000 = 3 : 1 : 2.

III gives, total profit = Rs. 1000.

Rohit's share = Rs. 1000 x 2 = Rs. 333 1
6 3

Correct answer is (D).
Sanjay Das said: (Sat, Aug 27, 2011 12:05:09 AM)    
 
Sir,

I think only the option I and III is necessary to answer the question, there is no need of option II. so the right answer should be option B . Because from the option I we can calculate the ration of three partner. In this type of mathematics we always assume that when there is no separete profit ratio, then we take the capital ratio, so in option I it is clearly said that Kunal profit is 3/2 time of Rohit's profit so we clearly understand that Rohit's monthly investment is 2/3 of Kunal's monthly investment. And also said that Kunal's investment is 4 time of Nitin's investment. So Nitin invest 1/4 of amount that Kunal invest. so we easyly get the ratio between them. There is no need of Option II.

Then why should the answer is option [d].
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