To find the original marked price that will produce a 25% markup on cost, we'll follow these steps:
Step 1: Calculate the total cost of the bananas.
Cost per pound = 32¢
Total pounds purchased = 300 pounds
Total cost = Cost per pound x Total pounds purchased = 32¢ x 300 = $96
Step 2: Calculate the number of bananas sold at 75% of cost.
25% of the bananas are sold at 75% of cost, so this is 0.25 * 300 = 75 pounds.
Step 3: Calculate the number of bananas discarded.
15% of the bananas are discarded, so this is 0.15 * 300 = 45 pounds.
Step 4: Calculate the number of bananas that will produce a 25% markup on cost.
The remaining bananas that can produce a markup are the ones not sold at a discount or discarded:
Remaining bananas = Total pounds purchased - (Bananas sold at a discount + Bananas discarded)
Remaining bananas = 300 - (75 + 45) = 180 pounds.
Step 5: Calculate the original marked price for the remaining bananas to produce a 25% markup on cost.
Markup on cost = 25% of cost = 0.25 * $96 = $24
Now, we need to find the marked price for the 180 pounds of bananas that will give a $24 markup on the $96 cost:
Original marked price for the remaining bananas = Cost + Markup
Original marked price = $96 (cost) + $24 (markup) = $120
So, the original marked price that will produce a 25% markup on cost for the remaining bananas is $120.