Question

a store is having a clearance sale on tablets. a tablet was previously on sale for 20% off. that sale price is being discounted an additional 50%. what percent of the original price is the tablet now selling for?
a. 30%
b. 40%
c. 60%
d. 70%

Explanation:

Step1: Assume original price is \( P \)

Let the original price of the tablet be \( P \).

Step2: Calculate first sale price

A 20% off means the sale price is \( (1 - 0.20)P = 0.80P \).

Step3: Calculate final sale price

An additional 50% off on the sale price means we take 50% of the sale price, so the final price is \( (1 - 0.50)(0.80P) \).
Simplify: \( 0.50 \times 0.80P = 0.40P \).

Step4: Find percentage of original price

To find what percent \( 0.40P \) is of \( P \), we calculate \( \frac{0.40P}{P} \times 100\% = 40\% \).

Answer:

b. 40%