Question
Data Interpretation Question on Data Sufficiency
Total amount of ₹38500 was distributed among Anuj, Sonam and Depak. How much does each get?
I. Anuj gets 92 of what the other two together get.
II. Sonam gets 113 of what the other two together get.
If statement I aone is sufficient but statement II along is not sufficient to answer the question.
If statement II aone is sufficient but statement I along is not sufficient to answer the question.
If both statements I and II together are required to answer the question but neither statement alone is sufficient
If statements I and II together are not sufficient to answer the question
If both statements I and II together are required to answer the question but neither statement alone is sufficient
Solution
From the given question, Anuj(A) + Sonam(S) + Depak(D) = 38,500
From(i), A=92(S+D)
A=92(38,500−A)
From the above equation we can find the amount received by Anuj
From (ii), S=113(A+D)
S=113(38,500−S)
From the above equation we can find the amount received by Sonam
Now from the given question we can fine amount received by Depak also. So both the statements are required to answer the question.
Hence, option C is the correct answer.The correct option is (C): If both statements I and II together are required to answer the question but neither statement alone is sufficient