Multiple choice

In a shop, the profit is 250% of the cost. If the cost increases by 20% but the selling price remains constant, then what percentage of the selling price is the profit?

  1. 211.33%

  2. 143.85%

  3. 191.67%

  4. 185.45%

  5. 201.67%

Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

Let the initial cost price be 100, so the initial profit is 250 and the selling price is 350. The new cost price after a 20% increase is 120, and because the selling price remains constant at 350, the new profit is 350 minus 120, or 230. The required percentage is the profit divided by the selling price times 100, calculated as (230 divided by 350) times 100, which equals 191.67%.