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A shopkeeper sold an article. Find the selling price of the article. Statement I: The selling price of the article is 45% more than the cost price of the article. The marked price of the article is 10% more than the selling price, and the amount of discount offered is Rs. 870. Statement II: The profit made by the shopkeeper is 45%. Had the article been sold for Rs. 300 more, the shopkeeper would have earned 50% profit.

1. 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.
2. 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.
3. The data either in statement I alone or in statement II alone are sufficient to answer the question.
4. The data given in both statements I and II together are not sufficient to answer the question.

Correct answer: The data either in statement I alone or in statement II alone are sufficient to answer the question.

Solution

Statement I gives a direct relation between selling price, marked price, and discount, which is enough to find the selling price. Statement II also gives two profit percentages with a difference of Rs. 300, which is sufficient to determine the selling price uniquely.

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