Final answer:
To find the amount of savings on a set of dishes that stays on the shelf longer than a month and originally sold for $75, calculate the initial discount, calculate the sale price after the discount, calculate the additional discount, and calculate the final price. The amount of savings would be $27.75.
Step-by-step explanation:
To find the amount of savings on a set of dishes that stays on the shelf longer than a month and originally sold for $75, we need to calculate the discount and the final price after the discount.
Step 1: Find the discount on the original price. The dishes are marked 30% off, so the discount amount is 30% of $75. 30% of $75 is 0.3 x 75 = $22.50.
Step 2: Calculate the sale price after the discount. Subtract the discount amount from the original price. The sale price is $75 - $22.50 = $52.50.
Step 3: Find the additional discount if the item stays longer than a month. The item gets reduced by 10% more off the sale price. Additional discount = 10% of $52.50. 10% of $52.50 is 0.1 x 52.50 = $5.25.
Step 4: Calculate the final price after the additional discount. Subtract the additional discount from the sale price. The final price is $52.50 - $5.25 = $47.25.
The amount of savings on a set of dishes that stays on the shelf longer than a month would be $75 - $47.25 = $27.75.