Question

Mr. Porter owns a house. When he first bought the house it was valued at d dollars. Since then, the value of the house has increased. Mr. Porter writes the equation below to express the current value of his house. d + 0.21d = 1.21d Mr. Porter claims that the value of his house has increased by 121%, since 1.21 is equal to 121%. Decide if Mr. Porter is correct. If he is correct, enter 121 below. If he is not correct, enter the correct percent increase.

Answer 1

His claim is wrong as the percent increase is 21%.

Explanation:

The given expression is:

`d+0.21d=1.21d`

Given is that at the time of purchase, the house it was valued at 'd' dollars.

So, original price (d) plus percent increase on original price (0.21d) equals to current price (1.21d)

We can see that the percent increase was 21%.

Mr. Porter claims that the value of his house has increased by 121%, since 1.21 is equal to 121%.

His claim is wrong as the percent increase is 21%.

Answer 2

In Mr. Porter's equation the initial "d" represents the initial value of the house. The term "+0.21d" represents the increase in value, 21% of its original value (d).

The correct percentage increase is 21%.