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

Answer:

105%

Step-by-step 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%