Multiple choice

The population of a town is $1,76,000$. If it incerease at the rate of $5\%$ per annum, what will be it's population $2$ years hence.

  1. $1,94,000$
  2. $1,94,040$
  3. $1,90,440$
  4. $1,94,104$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

With 5% annual growth for two years, the population becomes 176000 x 1.05^2. This equals 176000 x 1.1025 = 194040.

AI explanation

Using the compound growth formula A = P(1 + R/100)^N, the new population is calculated as 176000 multiplied by (1 + 5/100) squared. This gives the equation 176000 * 1.05 * 1.05, which simplifies to 176000 * 1.1025. Multiplying these values yields a final population of 194040 after two years.

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