Multiple choice

If a storekeeper sells 200 articles at such a price that his profit is equal to the selling price of 50 articles, what will be his profit percentage?

  1. 30.16%

  2. 32.15%

  3. 33.33%

  4. 38.14%

  5. 39.24%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Profit = Selling Price (SP) of 50 articles. Total SP of 200 articles = 200 * SP of 1 article. Profit = 50 * SP of 1 article. Cost Price (CP) = SP - Profit = 150 * SP of 1 article. Profit percentage = (Profit / CP) * 100 = (50 / 150) * 100 = 33.33%.

AI explanation

Let the selling price of one article be Re. 1, meaning the selling price of 200 articles is Rs. 200. The problem states the profit equals the selling price of 50 articles, making the profit Rs. 50. Using the profit formula, Cost Price equals Selling Price minus Profit, giving a cost price of 200 - 50, which is Rs. 150. The profit percentage is Profit divided by Cost Price multiplied by 100, yielding 50 / 150 * 100, which is 33.33%.

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