How much will you save If you buy an Item listed at $575.50 at a 30 percent discount? OA. $172.65
OB.
$176.25
O C. $185.63
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Answer is A $172.25

Step-by-step explanation:

Step 1: Our output value is 575.50.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$575.50=100\%$.

Step 4: Similarly, $x=30\%$.

Step 5: This results in a pair of simple equations

$575.50=100\%(1)$.

$x=30\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{575.50}{x}=\frac{100\%}{30\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{575.50}=\frac{30}{100}$

$\Rightarrow x=172.65$

Therefore, $30\%$ of $575.50$ is $172.65$