Unable to sell a hat for $20, a haberdasher lowered the price to $8.
It still did not sell, so he cut the price again to $3.20, and finally to $1.28.

Assuming that he followed a system, can you predict what his next markdown will be?
You must show your work to get credit!

Solution to the Problem:

The next price would be 51 cents.

First, you must establish that each mark-down is 2/5 of the former price.
20 x = 8, so x = 8/20 or 2/5 (or 40%).
8 x = 3.20, so x = .40 or 2/5.
3.20 x = 1.28, so x = .4 or 2/5
Therefore, the next price would be 1.28 x .4 = .512 or 51 cents.

Kimberly Howe sent an excellent explanation:



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