Question

An antique store increases all of its prices by $40\%$, and then announces a $25\%$-off-everything sale. What percent of the original prices (before the increase) are the new prices? show work plz! It's not 5% by the way

Answer 1

105%

Explanation:

We'll analyse the question one step at a time

Let the original price be x.

Let y be the 40% increase

`y =x + 40\% *x`

Express as decimal

`y =x + 0.40 x`

`y =1.40x`

Let z be the 25% off sale

`z = (1 - 25\%) * y`

Express as decimal

`z = (1 - 0.25) * y`

`z = (0.75) * y`

`z = 0.75y`

Substitute 1.40s for y

`z = 0.75*1.40x`

`z = 1.05x`

Express 1.05 as a fraction

`z = 105\% * x`

The percentage is 105%