The sale price of a 10 -speed bicycle is \( \$ 179.98 \). If the discount is \( 20 \% \), calculate the original sales price.

To find the original sales price of the bicycle before the discount, we can use the formula for the sale price after a discount: \[ \text{Sale Price} = \text{Original Price} - \text{Discount} \] The discount can also be expressed as a percentage of the original price: \[ \text{Discount} = \text{Original Price} \times \text{Discount Rate} \] Given that the sale price is \( \$179.98 \) and the discount rate is \( 20\% \) (or \( 0.20 \)), we can express the sale price in terms of the original price: \[ \text{Sale Price} = \text{Original Price} - (\text{Original Price} \times 0.20) \] This simplifies to: \[ \text{Sale Price} = \text{Original Price} \times (1 - 0.20) \] \[ \text{Sale Price} = \text{Original Price} \times 0.80 \] Now, we can set up the equation: \[ 179.98 = \text{Original Price} \times 0.80 \] To find the original price, we divide both sides by \( 0.80 \): \[ \text{Original Price} = \frac{179.98}{0.80} \] Calculating this gives: \[ \text{Original Price} = 224.975 \] Rounding to two decimal places, the original sales price is: \[ \text{Original Price} = \$224.98 \] Thus, the original sales price of the bicycle is \( \boxed{224.98} \).