Math Is Fun Forum

umbros

Member

Registered: 2008-01-27

Posts: 8

The Problem about Two Cars

Hi there!

THE PROBLEM:
A man recently bought two cars, but afterwards found that they would not answer the purpose for which he wanted them. So he sold them for $1200 each, making a loss of 20%, on one car and a profit of 20%, on the other.

Did he make a profit on the whole transaction, or a loss? And how much?
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Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,425

Re: The Problem about Two Cars

$1200=SP1=20/100CP1+CP1=(120/100)CP1=(6/5)CP1, CP1=$1000
$1200=SP2=CP2-20/100CP2=(80/100)CP2=(4/5)CP2, CP2=$1500
SP1+SP2=$2400
CP1+CP2=$2500

Therefore, a loss of $100 on the whole transaction.

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