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Aptitude - Partnership

Exercise : Partnership - Data Sufficiency 1
Directions to Solve

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
1.

Ravi, Gagan and Nitin are running a business firm in partnership. What is Gagan's share in the profit earned by them?

I. 

Ravi, Gagan and Nitin invested the amounts in the ratio of 2 : 4 : 7.

 II. 

Nitin's share in the profit is Rs. 8750.

I alone sufficient while II alone not sufficient to answer
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: Option
Explanation:

Let us name Ravi, Gagan and Nitin by R, G and N respectively.

 I. R : G : N = 2 : 4 : 7.

II. N = 8750..

From I and II, we get:

When N = 7, then G = 4.

When N = 8750, then G = 4 x 8750 = 5000.
7

Thus, both I and II are needed to get the answer.

Correct answer is (E).

2.

Rahul, Anurag and Vivek started a business together. In what proportion would the annual profit be distributed among them?

I. 

Rahul got one-fourth of the profit.

 II. 

Rahul and Vivek contributed 75% of the total investment.

I alone sufficient while II alone not sufficient to answer
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: Option
Explanation:

Let the total investment be Rs. x.

Then, R = x
4

R + V = 75 x x = 3x
100 4

V = 3x - x = x .
4 4 2

A = x - x + x = x
4 2 4

R : A : V = x : x : x = 1 : 1 : 2.
4 4 2

Thus, both I and II are needed to get the answer.

Correct answer is (E).

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