23. SELLING BANANAS The produce manager at Tom Thumb Market anticipates that 10% of the bananas purchased will spoil and will have to be thrown out. If she buys 500 pounds of bananas for S.56 per pound and wants a markup of 45% on the selling price, find the selling price per pound of bananas.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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23. SELLING BANANAS The produce manager at Tom Thumb Market anticipates that 10% of
the bananas purchased will spoil and will have to be thrown out. If she buys 500 pounds of
bananas for $.56 per pound and wants a markup of 45% on the selling price, find the selling
price per pound of bananas.
Transcribed Image Text:23. SELLING BANANAS The produce manager at Tom Thumb Market anticipates that 10% of the bananas purchased will spoil and will have to be thrown out. If she buys 500 pounds of bananas for $.56 per pound and wants a markup of 45% on the selling price, find the selling price per pound of bananas.
Expert Solution
Step 1

We have to find the selling price per pound of the bananas that is required to achieve a markup of 45%, you first need to find the cost.

To find the cost use following formula

Cost=Price per pound×Number of pounds

Hence,

Cost=0.56×500=$280

Therefore, Cost=$280

Next, you need to find the equivalent percentage markup on cost to the given 45% markup on selling price. Use the formula for the conversion.

% markup on selling price100%% markup on selling price=% markup on cost45%100%45%=% markup on cost45%55%=% markup on cost81.8%=% markup on cost

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