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Find the discount percentage. I. The marked price of an article is ₹3800, but due to a sale, a certain percentage of discount is declared. II. Amit bought the article for ₹3200 and thereby made a profit of \(\frac{100}{7}\%\).

1. The statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.
2. The statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.
3. Both the statements I and II together are needed to answer the question.
4. Either statement I alone or statement II alone is sufficient to answer the question.

Correct answer: Both the statements I and II together are needed to answer the question.

Solution

Statement I alone is insufficient because the discount percentage cannot be found without the selling price or cost price. Statement II alone is also insufficient because it gives the selling price and profit, but not the marked price. Together, they allow us to find the cost price and then the discount percentage.

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