Multiple choice

A shopkeeper buys 50 articles at some price, and sells 30 articles for x% profit and 20 articles for 20% loss. He makes a profit of 10% on all 50 articles. What would have been his percentage profit, if the shopkeeper had sold 20 articles for x% profit and remaining articles for (x + 5)% profit?

  1. 31%

  2. 33%

  3. 35%

  4. 37%

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total profit = (30*x - 20*20)/50 = 10 -> 30x - 400 = 500 -> 30x = 900 -> x = 30. New scenario: 20 articles at 30% profit, 30 articles at 35% profit. Total profit = (20*30 + 30*35)/50 = (600 + 1050)/50 = 1650/50 = 33%.

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