Question

On Tuesday, a radio store reduces all of its prices by $20\%$ from what they were on Monday.

On Wednesday, the store again reduces all of its prices by some percentage from what they were on Tuesday. If the resulting price of a radio is half of the original Monday price, then by what percentage did the store reduce its prices from Tuesday to Wednesday?

Answer 1

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Answer:

37.5%

Explanation:

If the original price was $100 on Monday, then it was $80 on Tuesday. The Wednesday price of $50 is a $30 reduction from the Tuesday price, so represents a reduction of ...

$30/$80 × 100% = 37.5%

The store reduced its prices by 37.5% from Tuesday to Wednesday.

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Additional comment

20% of $100 is $20. A reduction of $20 from $100 gives a Tuesday price of $80.