Multiple choice

In the year 2002, the population of a town increased by 𝑝% with respect to its population in 2001, but due to the breakout of a communicable disease, the population of the town dropped by (𝑝 + 5)% in the year 2003 with respect to its population in 2002. If the total population of the town dropped by 8% in 2003 with respect to that in 2001 and, after it revived from the communicable disease, its population increased by 25% in 2004 with respect to that in 2003, then by what percent did the population of the town change in 2004 with respect to that in 2002?

  1. 0

  2. 5

  3. 7.5

  4. 10

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A Correct answer
AI explanation

Let the initial population in 2001 be 100, making the 2003 population 92 after the 8% drop. The population in 2004 increases by 25%, making it 92 multiplied by 1.25, which equals 115. To find the 2002 population, use the equation 115 equals the 2002 population multiplied by 1 minus the quantity p plus 5 divided by 100, which yields a 2002 population of 115. Therefore, the population in 2004 is exactly the same as the population in 2002, resulting in a 0% change.