the price of an item was reduced by 25% to $30. what was the original price of the item?\na $55.00\nb…

the price of an item was reduced by 25% to $30. what was the original price of the item?\na $55.00\nb $40.00\nc $32.50\nd $22.50

the price of an item was reduced by 25% to $30. what was the original price of the item?\na $55.00\nb $40.00\nc $32.50\nd $22.50

Answer

Explanation:

Step1: Let original price be $x$.

The item is reduced by 25%, so the new - price is $(1 - 0.25)x=0.75x$.

Step2: Set up the equation.

We know that $0.75x = 30$.

Step3: Solve for $x$.

$x=\frac{30}{0.75}=40$.

Answer:

B. $40.00$