Population of Timbaktoo (2 years ago) is 125000. Due to natural calamities people started migrating. So, population decreased at the rate of 4% per annum. How many migrated from his town in past 2 years?
Population of Timbaktoo (2 years ago) is 125000. Due to natural calamities people started migrating. So, population decreased at the rate of 4% per annum. How many migrated from his town in past 2 years?
Show Hint
- 98000
- 96000
- 9600
- 9800
The Correct Option is D
Solution and Explanation
Step 1: Compute present population after 2 years of 4% fall p.a.
\[ P_{\text{now}} = 125000 \times (1-0.04)^2 = 125000 \times (0.96)^2 = 125000 \times 0.9216 = 115200. \] Step 2: Migrated (net decrease) in 2 years.
\[ \text{Migrated} = 125000 - 115200 = \boxed{9800}. \]
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