Question

A house has decreased in value by 34% since it was purchased. If the current value is $165,000, what was the value when it was purchased?

Answer 1

Question-:

A house has decreased in value by 34% since it was purchased. If the current value is $165,000. What was the value when it was purchased?

Explanation -:

In this question we are given that the value of a house is decreased by 34% and it is given that the current value is $165,000.We are asked to calculate the value when the house is purchased.

Let us assume the original price as 100x.

According to question

100x - 34% of 100x = 165000

→ 100x - 34/100 × 100x = 165000

→ 100x - 34x = 165000

→ 66x = 165000

→ x = 165000/66 = 2500

x = 2500

Answer 2

Explanation:

Solution

Let the original price = x

x - 34/100 x = 165,000

0.65x = 165 000 Divide by 0.65

0.65x/0.65 = 165000/0.65 Combine

Answer

x = 253846.15