Percentages

Algebra Level 2

David told his friend Brett that he recently sold two books on eBay. He sold one for $12, which his dad said was a 25% loss on what he had paid for it. He sold the other one also for $12, which his mom said was a 25% profit for what he paid. "So I guess I broke even", said David. However, Brett knew his friend did not. What was David's overall loss?

$1.60 $2 $4.25 $1.50

Rafaela L by Rafaela L , 19, USA

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2 solutions

Carel Quiatchon
Jul 18, 2014

let x=book1 y=book2 Book1 has 25% loss: 12=.75x x=16

Book2 has 25% profit: 12=1.25y y=9.60

Loss from book1: 16-12=4

Profit from book2: 12-9.60=2.40

Total loss: $2.40-$4.00 = $1.60-

3 Helpful 1 Interesting 1 Brilliant 0 Confused

He has given 25% loss for first book when he sold at $12 . Cost Price - 0.25×Cost Price= $12. 0.75 Cost Price = $12. Cost Price = $16. Cost Price of 1st book is $16. Now, for 2nd book he got 25% profit. Cost Price+ 0.25 Cost Price =$12. 1.25 Cost Price =$12. Cost Price = $9.6. Cost price of 2nd book = $9.6. Total cost price = 16+9.6 = $25.6. Total selling price = 12+12 =$24. Total loss incurred = 25.6-24 =$1.6

1 Helpful 1 Interesting 1 Brilliant 0 Confused

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