Frank bought a sofa on sale for $342 the price was 28% less than the original price what was the original price
Let's assume the original price of the sofa is x.
According to the question, the sale price is 28% less than the original price, which means Frank paid 100% - 28% = 72% of the original price.
So, the sale price of the sofa is 72% of the original price, which is (72/100) * x = 342.
Therefore, the original price (x) of the sofa is x = 342 * 100 / 72 = $<<342*100/72=475>>475. Answer: \boxed{475}.
To find the original price, we need to calculate the amount by which the sale price is reduced.
Step 1: Calculate the discount amount.
Let's assume the original price is OP.
The discount amount is 28% of the OP, which can be expressed as 0.28 * OP.
Step 2: Calculate the sale price.
The sale price is the original price minus the discount amount, so the sale price is OP - 0.28 * OP.
Step 3: Solve for the sale price.
We know that the sale price is $342.
Therefore, we can equate the sale price to $342:
OP - 0.28 * OP = $342.
Step 4: Simplify the equation.
Combining like terms, we get:
0.72 * OP = $342.
Step 5: Solve for OP.
Divide both sides of the equation by 0.72:
OP = $342 / 0.72.
Step 6: Calculate the original price.
Using a calculator, we get:
OP ≈ $475.
Therefore, the original price of the sofa is approximately $475.