Question

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

Answer 1

36*3332000/100
36*33320
1199520
333200-1199520

Answer 2

Let the cost of house, when it was built be x.

Today its cost=   x+x*(36/100)                            ...(1)

But its cost today is $333200     [given]            ...(2)

Now, equating (1) and (2),

We get,

        x+x*(36/100)=333200

        x+(36x/100)=333200

        (100x+36x)/100=33200                      [taking LCM of denominator]

         136x/100=333200

          136x=333200*100                            [rearranging terms]

           x=33320000/136

           Therefore, x= $245,000.