A town had 1,50,000 people three years ago. If its population rose successively by 2%, 2.5%, and 4% in the last three years, what is the present population?

Introduction / Context:Successive percentage growth requires compounding, not addition. This population problem asks for the current value after three different annual growth rates are applied in sequence.

Given Data / Assumptions:Initial population (3 years ago) = 150,000. Yearly growth factors: 1.02, then 1.025, then 1.04.

Concept / Approach:Present population = 150,000 * 1.02 * 1.025 * 1.04. Multiply in order (multiplication is commutative) and avoid premature rounding to maintain accuracy. The final should be an integer in this crafted example.

Step-by-Step Solution:

Verification / Alternative check:Combined factor: 1.02 * 1.025 * 1.04 = 1.08732; 150,000 * 1.08732 = 163,098.

Why Other Options Are Wrong:Other values are near but reflect rounding or additive methods (2 + 2.5 + 4 = 8.5%), which is incorrect for successive growth.

Common Pitfalls:Adding percentages directly or rounding after each step too aggressively. Use factors and keep precision to the end.

Final Answer:163098