Question

Mr.Williams, a parking lot owner, sold 20% of his lot to his neighbor. Later that year he sold 20% of the remainder of his lot to another neighbor. What percent of Mr.Williams' original parking lot does he still own?

Answer 1

Answer: He still owns 64% of the Mr.Williams' original parking.

Step-by-step explanation:

Let x = Area of the original parking plot.

First he sold 20% of his lot to neighbor .

Sold plot = 20% of x = 0.20x  [Replace 'of' by '×' and divide number by 100 to remove %]

Reminder= x-0.20x= (1-0.20)x=0.80x

Again he sold 20% of the remainder .

Sold plot = 20% of (0.80x) = 0.20 (0.80x)

= 0.16x

Remainder plot = 0.80x-0.16x= 0.64x

Percent of Mr.Williams' original parking lot does he still own = $\dfrac{0.64x}{x}\times100=64\%$

Hence, he still owns 64% of the Mr.Williams' original parking.