Question

1. a ski jacket has been marked down on three occasions, first 20% off, then 25% off the new price, and finally 50% off the previous price. what is the overall percent saved?

Explanation:

Step1: Assume original price as $P$

Let the original price of the ski jacket be $P$.

Step2: Calculate price after first discount

After 20% off, the remaining cost is 80% of $P$:
$P_1 = P \times (1 - 0.20) = 0.80P$

Step3: Calculate price after second discount

After 25% off the new price, the remaining cost is 75% of $P_1$:
$P_2 = P_1 \times (1 - 0.25) = 0.80P \times 0.75 = 0.60P$

Step4: Calculate final price after third discount

After 50% off the previous price, the remaining cost is 50% of $P_2$:
$P_{\text{final}} = P_2 \times (1 - 0.50) = 0.60P \times 0.50 = 0.30P$

Step5: Calculate total percent saved

The amount saved is $P - 0.30P = 0.70P$. The percent saved is:
$\text{Percent Saved} = \frac{0.70P}{P} \times 100\% = 70\%$

Answer:

70%