Multiple choice

If price of an article rose by 25% every odd year and fell by 20% every even year, what would be the percentage change after 180 years?

  1. 10% increase

  2. 25% increase

  3. No change

  4. 20% decrease

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

In two years (one odd, one even), the price changes by factor (1.25 * 0.80) = 1.0. After 180 years (90 pairs of years), the factor is 1^90 = 1. No change.

AI explanation

An increase of 25 percent is equivalent to multiplying the price by 1.25, and a decrease of 20 percent is equivalent to multiplying by 0.80. For each two-year period, the net multiplying factor is 1.25 multiplied by 0.80, which equals 1.00. Over 180 years, this cycle occurs exactly 90 times, meaning the price is multiplied by 1.00 ninety times, keeping it exactly the same. Therefore, there is no change.

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