The price of an item is reduced by 40% of its original price. A week later it is reduced by 30% of the reduced price The cashier informs you that there has been a total reduction of 34% Is the cashier using percentages correctly? If not, what is the actual percent reduction from the onginal price? A. The cashier is using percentages correctly. B. The cashier is not using percentages correctly The actual percent reduction from the original price is 58% C. The cashier is not using percentages correctly The actual percent reduction from the original price IS 17% D. The cashier is not using percentages correctly The actual percent reduction from the onginal price is 42%

To determine if the cashier is using percentages correctly, we need to calculate the total reduction in price based on the given percentages.<br /><br />Let's assume the original price of the item is $100.<br /><br />1. The first reduction is 40% of the original price:<br /> - 40% of $100 = 0.40 * $100 = $40<br /> - The reduced price is $100 - $40 = $60<br /><br />2. The second reduction is 30% of the reduced price:<br /> - 30% of $60 = 0.30 * $60 = $18<br /> - The final price after the second reduction is $60 - $18 = $42<br /><br />Now, let's calculate the total reduction in price:<br />- The original price is $100<br />- The final price after both reductions is $42<br />- The total reduction is $100 - $42 = $58<br /><br />Therefore, the actual percent reduction from the original price is:<br />- ($58 / $100) * 100% = 58%<br /><br />So, the correct answer is:<br />B. The cashier is not using percentages correctly. The actual percent reduction from the original price is 58%.