The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? X and Y entered into a partnership. What is share of X’s profit? I. The ratio of capitals of X and Y is 3 : 5. II. X invested his money for two months more than Y. III. Y’s share in the total profit is Rs. 1000 less than the share of X.
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Only I and II
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Only I and III
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Any two
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All
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None of these
E
Correct answer
Explanation
To find X's profit share, we need capital ratio, investment time periods, and total profit amount. Statement I gives only capital ratio (3:5). Statement II gives time difference (X invested 2 months more) but not actual periods. Statement III relates the shares (Y's share = X's share - 1000) but doesn't give total profit. Without total profit or actual time periods, we cannot determine X's profit share even using all three statements together. Therefore the data is insufficient.