Problem 34
Question
After a \(30 \%\) reduction, you purchase a dictionary for \(\$ 30.80\) What was the dictionary's price before the reduction?
Step-by-Step Solution
Verified Answer
The original price of the dictionary before the reduction was $44.
1Step 1: Identifying percentage
Firstly, one must identify that, after a 30% discount, the remaining price of the dictionary corresponds to 70% of the original price. That means, $30.80 equates to 70% of the original price.
2Step 2: Formulate the equation
The problem can be formulated as an equation. Let's consider 'X' as the original price. Therefore, the equation is: \(0.7X = 30.80\)
3Step 3: Solve the equation
The final step is to solve the equation to find the original price 'X'. To solve for 'X', divide both sides of the equation by 0.7: \[X = 30.80 / 0.7\]. Calculate the right side of the equation to find 'X'.
Other exercises in this chapter
Problem 33
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