hard · GMAT Quant

Two investment accounts initially had balances, in whole thousands of dollars, in the ratio 3:2, and their combined initial balance was at least 125,000 but no more than 150,000. Account A then increased by p percent, while Account B decreased by p/2 percent, where p is a positive integer. Immediately afterward, $21,000 was transferred from Account A to Account B, making the two balances equal.

What is the sum of all possible values of p?

  1. 17
  2. 24
  3. 27
  4. 32
  5. 35

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