Did I sell those coats right?

Algebra Level pending

A vendor sold two coats at $ 60 \$60 each. One was sold at a loss of 20 20 %, and the other was sold with a gain of 20 20 %. What was the total loss on both transactions?

$ 0 \$0 $ 10 \$10 $ 5 \$5 $ 24 \$24

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1 solution

Jeremy Bansil
Sep 6, 2014

If you didn't read "A vendor SOLD " well, you'll end up with an answer of $ 0 \$0 (which means the vendor supposedly sold the two coats at $ 60 \$60 each).

So, according to the problem, one coat is 80 80 % of the original price and the other is 120 120 % of its original price, and add the fact that they WILL both cost $ 60 \$60 . To get their original prices, we should divide.

$ 60 . 80 \frac{\$60}{.80} and $ 60 1.2 \frac{\$60}{1.2} will be equal to $ 75 \$75 and $ 50 \$50 .

Now subtract $ 120 \$120 (sum of the two prices of the coats) from the sum of the original prices.

( $ 75 + $ 50 ) $ 120 = $ 125 $ 120 (\$75 + \$50) - \$120 = \$125 - \$120 which would be equal to 5 \boxed{5} of loss. (Note that the dollar sign pretty much disrupts the "\boxed" format.)

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