Multiple choice general knowledge math & puzzles

What is the maximum percentage discount that a merchant can offer on her Marked Price so that she ends up selling at no profit or loss, if she had initially marked her goods up by 50%?

  1. 33.33 %

  2. 16.67 %

  3. 67.33 %

  4. 6.33 %

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP = 100. With 50% markup, MP = 150. For no profit no loss, SP must equal CP = 100. Discount needed = (150-100)/150 × 100 = 50/150 × 100 = 33.33%. Option B (16.67%) is half of this - a common error of calculating on CP instead of MP. Option C is incorrectly calculated double.