Let x be the value of the house when it was purchased. The house has decreased in value by 33%, which means the current value is 100% - 33% = 67% of the original value.
So, 0.67*x = $201,000.
Therefore, x = $201,000 / 0.67 = $<<201000/0.67=300000>>300,000.
The value of the house when it was purchased was $300,000. Answer: \boxed{300,000}.
A house has decreased in value by 33% since it was purchased if the current value is $201,000 what was the value when it was purchased
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