Choice (E), 35.00%, is equal to the sum of the two discount percents.
However, this problem (and many Problem Solving percent questions) involves
a successive percent change. This means we must find the price of the
stereo after the first discount, and then apply the second discount to
the new price. We cannot simply add the individual percents. Choice (E)
is a trap answer.
Choice (C) is correct. Picking 100 as the original price of the stereo,
we find:
Price after first discount: $100 × 0.10 = $10; $100 – $10 = $90
Price after second discount: $90 × 0.25 = $22.50; $90 – $22.50 = $67.50
Total discount: $100 – $67.50 = $32.50; $32.50 is 32.50% of $100.
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