Multiple choice

The price of a car is first increased by 10% and then decreased by 3%. The price we get is what percent of the original price?

  1. 105.6%

  2. 107.6%

  3. 106.7%

  4. 108%

  5. 108.6%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the original price be 100. After a 10% increase, the price becomes 110. A 3% decrease on 110 is 110 * 0.03 = 3.3, so the final price is 110 - 3.3 = 106.7.

AI explanation

Applying the successive percentage change formula for an increase of 10% and a decrease of 3%, we multiply the respective multipliers: 1.10 times 0.97 equals 1.067. Converting this final multiplier back into a percentage gives 106.7%. The result is 106.7%.

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