The below question is followed by two statements labelled as (i) and (ii). You…
2024
The below question is followed by two statements labelled as (i) and (ii). You have to decide if these statements are sufficient to conclusively answer the question. Question: The ratio of Amit’s salary to Vikas’s salary is 4 : 5. How much is Vikas’s expenditure? Statements: (i) The ratio of Amit’s and Vikas’s expenditure is 5 : 6. (ii) The ratio of their savings is 1 : 1.
- A.
If statements (i) and (ii) both are not sufficient to answer the question. More data are needed.
- B.
If statements (i) and (ii) both are required to answer the question.
- C.
If statement (i) alone is sufficient to answer the question.
- D.
If statement (ii) alone is sufficient to answer the question.
- E.
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Correct answer: A
Let Amit's salary be 4x and Vikas's salary be 5x.
Statement (i) gives only the expenditure ratio 5:6. Statement (ii) gives only equal savings.
Together, they can show that the expenditure ratio is consistent with the salary ratio, but they still do not give the absolute value of x.
Therefore Vikas's exact expenditure cannot be determined; more data are needed.