ISEE Mathematics Achievement Question 308: Answer and Explanation

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Question: 308

8. The price of a suit is reduced by 20%, and then the resulting price is reduced by another 10%. The final price is what percent off of the original price?

  • A. 20%
  • B. 25%
  • C. 28%
  • D. 30%

Correct Answer: C

Explanation:

C When there are percents or fractions without a starting or ending value in the question stem, feel free to Plug In. For instance, Plug In $100 for the starting price of the suit. It is reduced by 20%, so 20% of $100 is equal to (100) = = 20. That is the amount the suit is reduced. Subtract that from $100 to find the resulting price: $100 - $20 = $80. The suit is then reduced by 10%, so 10% of $80 is (80) = (80) = = 8. Subtract this from $80 to find the final price of the suit: $80 - $8 = $72. The final price is $72. The final price is what percent off of the original is another way of asking the final price is what percent less than the original. So, use the percent change formula: % change = × 100. The difference is $100 - $72 = 28. The original price was $100. Therefore, (100) = 28. The correct answer is (C).

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