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beks73 [17]
3 years ago
9

An antique store increases all of its prices by $40\%$, and then announces a $25\%$-off-everything sale. What percent of the ori

ginal prices (before the increase) are the new prices? show work plz! It's not 5% by the way
Mathematics
1 answer:
Mandarinka [93]3 years ago
5 0

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

<em>The percentage is 105%</em>

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