Multiple choice

Three years ago, the population of a town was 1 lakh. If the annual increase during three successive years was at the rate of 4%, 2% & 2% per annum respectively, find the approximate present population.

  1. 1,10,100

  2. 1,12,300

  3. 1,08,202

  4. 1,08,000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Population = 100000 * 1.04 * 1.02 * 1.02 = 100000 * 1.082016 = 108201.6. The closest approximate value is 1,08,202.

AI explanation

The present population is calculated using the successive percentage change formula: P(1 + r1/100)(1 + r2/100)(1 + r3/100). Substituting the values gives 100000 x 1.04 x 1.02 x 1.02. Multiplying these factors yields 100000 x 1.082016, which results in a present population of approximately 1,08,202.

Keep practicing — related questions