Multiple choice

The price of an item decreased by $20\%$ to $ $200$. Then later the price decreased again from $ $200$ to $ $150$. What is the percent of decrease from the original price to the final price of $ $150$?

  1. $40$ %
  2. $30$ %
  3. $20$ %
  4. $50$ %
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A Correct answer
Explanation

Original price P. After 20% decrease, 0.8P = 200, so P = 250. Final price is 150. Total decrease = 250 - 150 = 100. Percent decrease = (100 / 250) * 100 = 40%.

AI explanation

The original price is calculated by dividing 200 by 0.80, which gives 250. The final price is 150, so the total decrease from the original price is 250 minus 150, which equals 100. The percentage decrease is 100 divided by 250 multiplied by 100, resulting in 40%.

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