medium · GMAT Quant

An investor deposits $20,000 for one year at an annual interest rate of r%. If the bank compounds this rate semiannually, the investor earns exactly $50 more in interest over the year than if the bank had simply applied r% once, as ordinary simple interest, for the full year.

What is the value of r?

  1. 5%
  2. 20%
  3. 10%
  4. 14.1%
  5. 7.5%

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