The Correct Answer and Explanation is:
The correct statements are:
- Statement 1: If the price is marked down by 10 percent, the new price will be $25.20. ✅
- Statement 2: If the price is marked down by 25 percent, the new price will be $21.00. ✅
- Statement 3: If the price is marked down by 35 percent, the new price will be $18.20. ✅
Let’s break down how we arrive at these answers by understanding the concept of percentage markdown.
A markdown is a percentage reduction from the original price. If an item costs $28 and is discounted, we calculate the markdown amount by multiplying $28 by the markdown rate, then subtract that amount from the original price.
For the first statement, a 10 percent markdown means we compute 10 percent of $28, which is 0.10 × 28 = 2.80. Subtracting that from $28 gives 28 − 2.80 = 25.20, so statement 1 is correct.
For the second, a 25 percent markdown is 0.25 × 28 = 7.00. Then 28 − 7.00 = 21.00, confirming that statement 2 is correct.
The third statement involves a 35 percent markdown. Calculate 0.35 × 28 = 9.80. Then 28 − 9.80 = 18.20, making statement 3 also correct.
Now for the false options:
Statement 4 claims a 40 percent markdown leads to a price of $29.80. That cannot be correct because the price should decrease. Calculating 0.40 × 28 = 11.20, and 28 − 11.20 = 16.80, not 29.80.
Statement 5 says a 50 percent markdown results in $19.00. But 0.50 × 28 = 14.00, so 28 − 14.00 = 14.00, not 19.00.
Therefore, the accurate answers are statements 1, 2, and 3. This process is a practical application of percentage calculations used in retail pricing and discounts.
