Multiple choice

By selling an article what is the profit percent gained? I. $5$% discount is given on list price. II. If discount is not given, $20$% profit is gained. III. The cost price of the articles is $Rs. 5000$.

  1. Only I and II

  2. Only II and III

  3. Only I and III

  4. All I, II and III

  5. None of these
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A Correct answer
AI explanation

Let the cost price be 100; according to statement II, a 20 percent profit means the marked price is 120. Statement I states a 5 percent discount is given on this list price, so the selling price becomes 95 percent of 120, which equals 114. The profit is 114 minus 100, equaling 14; applying the profit percentage formula confirms a 14 percent profit. Since the cost price was assumed as a base value of 100, the actual cost price in statement III is not required to find the percentage; therefore, only statements I and II are necessary.

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