Questions: Tessa wants to buy an antique clock. The sale price is 236. What was the original price?

Solution Steps

Let the sale price of the antique clock be \( S = 236 \). Assume a discount rate of \( d = 0.20 \) (or 20%).

The relationship between the original price \( P \), sale price \( S \), and discount rate \( d \) can be expressed as: \[ S = P \cdot (1 - d) \]

Rearranging the formula to solve for the original price \( P \): \[ P = \frac{S}{1 - d} \] Substituting the known values: \[ P = \frac{236}{1 - 0.20} = \frac{236}{0.80} \]

Calculating the value gives: \[ P = 295 \]

Thus, the original price of the antique clock is \( P = 295 \).

Final Answer