Aptitude - Partnership - Discussion
Discussion Forum : Partnership - Data Sufficiency 2 (Q.No. 1)
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 |
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. |
times that of Rohit's and his investment was four times that of Nitin.
Answer: Option
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).
Discussion:
9 comments Page 1 of 1.
Krish said:
5 years ago
Option D is the right answer.
I. Kunal invested 8000 for 9 months so 72000.
Kunal's profit = 3/2 times that of Rohit.
Kunal's investment = 4 times that of Nitin,
So Nitin's investment= 2000.
The ratio of investments = ratio of profits.
72000/X = 3/2/1(or 1.5/1).
By solving we get X = 48000.
@All.
THOSE WHO SAID OPTION ' B ' IS CORRECT TAKE A LOOK AT HERE
(for how many months did Rohit invest??? We don't know. We came to know that Rohit and Nitin invested for a year in the second part of the question)
II. Nitin and Rohit " invested for a year' in the ratio 1:2.
As we know nitin = 2000 therefore Rohit = 4000,
therefore Nitin = 2000 X 12 = 24000 , Rohit = 4000 X 12 = 48000.
III. They get a profit of 1000.
So now,
Kunal : nitin : Rohit = 3 : 1 : 2,
Rohit's share = 2/6 X 1000 = 333.33 Rs.
Hope you guys understand.
I. Kunal invested 8000 for 9 months so 72000.
Kunal's profit = 3/2 times that of Rohit.
Kunal's investment = 4 times that of Nitin,
So Nitin's investment= 2000.
The ratio of investments = ratio of profits.
72000/X = 3/2/1(or 1.5/1).
By solving we get X = 48000.
@All.
THOSE WHO SAID OPTION ' B ' IS CORRECT TAKE A LOOK AT HERE
(for how many months did Rohit invest??? We don't know. We came to know that Rohit and Nitin invested for a year in the second part of the question)
II. Nitin and Rohit " invested for a year' in the ratio 1:2.
As we know nitin = 2000 therefore Rohit = 4000,
therefore Nitin = 2000 X 12 = 24000 , Rohit = 4000 X 12 = 48000.
III. They get a profit of 1000.
So now,
Kunal : nitin : Rohit = 3 : 1 : 2,
Rohit's share = 2/6 X 1000 = 333.33 Rs.
Hope you guys understand.
(4)
SANJAY DAS said:
1 decade ago
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].
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].
Karan said:
1 decade ago
Option 1 details as:
Kunal total investment =(8000 *9)=72000Rs.
Nitin total investment= 1/4*72000 *12=24000 Rs. ( since Kunal's investments is 4 times of Nitin ) and secondly (since Nitin is investing for 1 year so we multiply with 12 months).
Option 2 details as:
Nitin s investment taken as 1st part of share. so he gets 24000.
Rohit s share is 2 times of Nitin , so finally he gets rs 48000.
Now lets take a proportion of their shares as
3:1:2 . I hope you got this point because since they got all their respective shares, so just we took ratios.
Option 3 details as:
Total profit =rs 1000 for all threee together. naturally we can first share of each person as:
Kunal share = 3/6.
Niti share= 1/6.
Rohit share=3/6.
So Rohit s profit as individual will be (3/6 of his profit).
( since share means individual investment of a person).
This means , profit obtained to the person will be profit out of his in vestments( or his total money).
So all three options are reliable for answering this question.
Kunal total investment =(8000 *9)=72000Rs.
Nitin total investment= 1/4*72000 *12=24000 Rs. ( since Kunal's investments is 4 times of Nitin ) and secondly (since Nitin is investing for 1 year so we multiply with 12 months).
Option 2 details as:
Nitin s investment taken as 1st part of share. so he gets 24000.
Rohit s share is 2 times of Nitin , so finally he gets rs 48000.
Now lets take a proportion of their shares as
3:1:2 . I hope you got this point because since they got all their respective shares, so just we took ratios.
Option 3 details as:
Total profit =rs 1000 for all threee together. naturally we can first share of each person as:
Kunal share = 3/6.
Niti share= 1/6.
Rohit share=3/6.
So Rohit s profit as individual will be (3/6 of his profit).
( since share means individual investment of a person).
This means , profit obtained to the person will be profit out of his in vestments( or his total money).
So all three options are reliable for answering this question.
Anusha said:
1 decade ago
What is the meaning of 1000*(2/6)?
Why should (2/6) be multiplied with 1000?
Why should (2/6) be multiplied with 1000?
Rohit said:
1 decade ago
Only option 1st and 3rd is required to solve this question. There is no need to have option 2 to solve this question.
Correct answer is (B).
Correct answer is (B).
Pranaya said:
9 years ago
Information given by the statement-2 is included in the statement-1 itself. So, statement-2 is useless.
The correct answer should be B.
The correct answer should be B.
Patel said:
8 years ago
I think I & III is the correct answer.
Kriti said:
8 years ago
The correct answer should be option (B).
Boom said:
4 months ago
THe right answer is option B:
From questions: Profit at "end of year", so by default everyone invests for 12 months, unless stated explicitly.
From option (I)
It's Explicitly stated that Kunal invested (Ki) 8000 for 9 months, and this amount is 4 times what Nitin invested (Ni). Thus,
Ni = 2000 for 12 months.
Kunal's profit (Kp) = 3/2 of Rohit's Profit (Rp).
From this much we can say that:
Ni * 12 : Ri * 12 : Ki * 9 = Np : Rp : Kp, where Ri = Rohit's Investment amount, and Np = Nitin's Profit
=> 2000 * 12 : Ri * 12: 8000*9 = Np : Rp : (3 * Rp)/2,
=> 24000 : Ri * 12 : 72000 = Np : Rp : (3 Rp)/2 --> [1]
From [1], we can say that,
24000/72000 = Np/((3 Rp)/2),
=> Np = Rp/2 ---> [2]
Using, [2], we can say that
24000 : Ri * 12 : 72000 = Rp/2 : Rp : (3 * Rp)/2,
=> 24000 : Ri * 12 : 72000 = 1 : 2 : 3,
=> Ri = 48000/12 = 4000 (but do we even need this now?).
Therefore we can say that Rohit got Rs 333.33 as his share in overall profit of Rs 1000 at the end of the year, as stated in (III)
Therefore we needed, only I and III
The second option is not useful as it only gave trivial investment duration and proportions which are derivable from I.
From questions: Profit at "end of year", so by default everyone invests for 12 months, unless stated explicitly.
From option (I)
It's Explicitly stated that Kunal invested (Ki) 8000 for 9 months, and this amount is 4 times what Nitin invested (Ni). Thus,
Ni = 2000 for 12 months.
Kunal's profit (Kp) = 3/2 of Rohit's Profit (Rp).
From this much we can say that:
Ni * 12 : Ri * 12 : Ki * 9 = Np : Rp : Kp, where Ri = Rohit's Investment amount, and Np = Nitin's Profit
=> 2000 * 12 : Ri * 12: 8000*9 = Np : Rp : (3 * Rp)/2,
=> 24000 : Ri * 12 : 72000 = Np : Rp : (3 Rp)/2 --> [1]
From [1], we can say that,
24000/72000 = Np/((3 Rp)/2),
=> Np = Rp/2 ---> [2]
Using, [2], we can say that
24000 : Ri * 12 : 72000 = Rp/2 : Rp : (3 * Rp)/2,
=> 24000 : Ri * 12 : 72000 = 1 : 2 : 3,
=> Ri = 48000/12 = 4000 (but do we even need this now?).
Therefore we can say that Rohit got Rs 333.33 as his share in overall profit of Rs 1000 at the end of the year, as stated in (III)
Therefore we needed, only I and III
The second option is not useful as it only gave trivial investment duration and proportions which are derivable from I.
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