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
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}.
To find the value of the house when it was purchased, we need to calculate the original value before it decreased by 33%.
Step 1: Calculate the decrease in value.
Decrease = 33% × $201,000
Decrease = 0.33 × $201,000
Decrease = $66,330
Step 2: Subtract the decrease from the current value to find the original value.
Original Value = Current Value - Decrease
Original Value = $201,000 - $66,330
Original Value = $134,670
Therefore, the value of the house when it was purchased was $134,670.