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Partnership - General Aptitude

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.
Q1:

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.

A I alone sufficient while II alone not sufficient to answer

B II alone sufficient while I alone not sufficient to answer

C Either I or II alone sufficient to answer

D Both I and II are not sufficient to answer

E Both I and II are necessary to answer

ANS:E - Both I and II are necessary to answer

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).