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MAT Exam 2024 Paper

Question : 107 of 150

Marks: +1, -0

125 \%

of Rama's.

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.
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.
If the data either in statement I alone or in statement II alone are sufficient to answer the question.
If the data even in both statements I and II together are not sufficient to answer the question.

Solution:

Concept:

In profit-sharing problems, both the capital invested and the time period of investment for each partner are needed.

Explanation:

Statement I gives only Rama's investment: ₹ 50,000 initially, with ₹ 1,000 withdrawn after 4 months.

It gives no information about Krishna's capital or period. Hence, it is not sufficient alone.

Statement II says that for the last 8 months, Krishna's capital was

125\%

of Rama's capital.

But it does not give Krishna's capital for the first 4 months, nor Rama's changing capital clearly.

Hence, statement II alone is also not sufficient.

Combining both statements, we know Rama's capital in the last 8 months was ₹ 49,000, so Krishna's capital for those 8 months was

1.25 \times 49{,}000 = ₹ 61{,}250

However, Krishna's capital for the first 4 months is still unknown.

Therefore, the profit-sharing ratio cannot be determined, and the difference between their shares cannot be found.

Answer:

The data even in both statements I and II together are not sufficient to answer the question.

Hence, the correct option is D.

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