Multiple choice

Suvi bought an article. She sold it for \$31.25 making the percent profit equal to the cost price of the article. What is the cost price of the article?

  1. $30
  2. $25
  3. $24
  4. $20
  5. $15
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the cost price be x. The profit percentage is x%, so the selling price is x + (x/100)*x = 31.25. This leads to the quadratic equation x^2 + 100x - 3125 = 0. Solving this gives x = 25.

AI explanation

Let the cost price be x dollars, meaning the profit percentage is also x. Using the formula Selling Price = Cost Price * (1 + Profit Percentage/100), we get 31.25 = x * (1 + x/100). Solving the resulting quadratic equation, x squared + 100x - 3125 = 0, yields a positive cost price of $25.

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