Question

A stote nas dearance items that have been marked down by ( 55 %). They are having a salic, advertising in additional ( 30 % ) off clearance items. What percent of the onginal price do you end unpaid?

Answer 1

The final price a customer pays after a 55% discount followed by an additional 30% off clearance items is 31.5% of the original price, because the subsequent discount is applied to the already reduced price.

Step-by-step explanation:

The student is asking about the combined percentage discount when two successive discounts are applied to an item. To calculate the final price after both discounts, we need to apply each discount one after the other.

First, an item is discounted by 55%, which means the item costs 45% of its original price (100% - 55% = 45%). We represent this as 0.45 in decimal form.

Next, an additional discount of 30% off the already reduced price is applied. To find this, we take 30% of the remaining price (0.45) which is 0.30 x 0.45 = 0.135 or 13.5% of the original price. So, you get a 13.5% discount on the already reduced price.

To find the final price, subtract this additional discount from the remaining price after the first discount: 0.45 (remaining price) - 0.135 (additional discount) = 0.315 or 31.5%. Therefore, the final price the customer pays is 31.5% of the original price.