Question

A house costs 36% more today than when it built.if the cost of the house today is $333200,find its cost when it was built

Answer 1

The cost of house was $245000 when it was built.

Explanation:

Given that:

Cost of the house today = $333200

Percent increase in today's price = 36%

Let,

x be the cost of house when it was built.

100 be the percentage when the house was built.

Percentage of house price today = (100+36)% = 136%

136% of x = 333200

`(136)/(100)*x=333200\\1.36x=333200`

Dividing both sides by 1.36

`(1.36x)/(1.36)=(333200)/(1.36)\\x=245000`

Hence,

The cost of house was $245000 when it was built.