SOLUTION: When a clothing store first makes an item available for purchase, the price is marked up 60% above the cost to the store. What discount can the store offer so that the discounted

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Question 1034861: When a clothing store first makes an item available for purchase, the
price is marked up 60% above the cost to the store. What discount
can the store offer so that the discounted price is the same as the
original cost to the store?Express your answer as a percent to the nearest tenth.
Answer: 37.5% (How?)

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Percentages are ratios, which can be expressed as fractions,
and if you are lucky, as decimals.
For example, 60%25=60%2F100=0.6
c= original cost to the store
60%25 of c is %2860%2F100%29c=0.6c
c%2B0.6c=1.6c= marked-up price
If the discounted price is the same c as the original cost to the store,
the discount is %28c%2B0.6c%29-c=0.6c .
As a fraction of the marked-up price, the discount is
0.6c%2F%221.6+c%22=0.6%2F1.6=6%2F16=3%2F8=0.375=37.5%2F100=highlight%28%2237.5%25%22%29