Multiple choice

The population of a city is $7.26$ lakh today. If the population has been increasing at the rate of $10\%$ per year, then two year ago, the population would have been

  1. $6$ lakh
  2. $5.5$ lakh
  3. $5$ lakh
  4. $4.5 $ lakh
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A Correct answer
Explanation

Let P be the population two years ago. The current population is P * (1.10)^2 = 7.26 lakh. Solving for P gives P = 7.26 / 1.21 = 6 lakh.

AI explanation

To find the past population, divide the current population of 7.26 lakh by (1 + r) for each year, where r is 0.10. The calculation is 7.26 divided by 1.10, and then divided by 1.10 again. This results in a population of 6 lakh two years ago.