Monday, January 28, 2008

The Two Cars

Hi, everyone!

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?

Test yourself!
The right answer you can find in comments.

1 comment:

Umbros said...

The man must have paid $1500 ($1200/0.8) and $1000 ($1200/1.2) for the two cars, making together $2500. But as he sold them for only $2400, he lost $100 by the transaction.

Explanation:
1) a loss of 20%
X – 100%
1200 – 80%

X = (1200*100%)/80% = 1500

2) a profit of 20%
X – 100%
1200 – 120%

X = (1200*100%)/120% = 1000