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Recover the list price

Mental mathMedium

After a discount and a further discount off the discounted price, a terminal subscription costs . What was its original list price?

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A whole number, a decimal, a fraction like 3/8 or a percent.

Hint

Find the single net multiplier, then divide.

Solution
  1. The multipliers are and , giving .
  2. So , where is the list price.
  3. Then .
  4. , so the list price was .

Answer: