Last summer, I saw this confusing Sales sign in Macy's:
75% off original prices
when you take an extra 50% off
already reduced prices
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What was the percent of the first reduction?
Solution to the Problem:
The item was already reduced by 50%.
If you took 50% off the original price, and then you took 50% of what was left (50%),
you would have reductions of 50% and 25% off the original for 75%.
Using algebra,
let x = original price
let R * x = reduced price
The final price is .25 x
Hence, .5 R x = .25 x
so, R = .5 or 50%, and the amount of discount is 100 - 50 = 50%.