My Learning Cart
?
Categories
Account

If a population of a town increases by 10% every year, what will be the populati

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: If a population of a town increases by 10% every year, what will be the population after 2 years if the current population is 1,000? (2023)

Options:

  1. 1,100
  2. 1,210
  3. 1,300
  4. 1,400

Correct Answer: 1,210

Exam Year: 2023

Solution: 

Population after 2 years = 1000 * (1 + 0.10)^2 = 1000 * 1.21 = 1210.

If a population of a town increases by 10% every year, what will be the populati

Practice Questions

Q1
If a population of a town increases by 10% every year, what will be the population after 2 years if the current population is 1,000? (2023)
  1. 1,100
  2. 1,210
  3. 1,300
  4. 1,400

Questions & Step-by-Step Solutions

If a population of a town increases by 10% every year, what will be the population after 2 years if the current population is 1,000? (2023)
  • Step 1: Identify the current population, which is 1,000.
  • Step 2: Determine the annual growth rate, which is 10%. Convert this percentage to a decimal by dividing by 100, resulting in 0.10.
  • Step 3: Calculate the growth factor for one year by adding 1 to the growth rate: 1 + 0.10 = 1.10.
  • Step 4: Since we want to find the population after 2 years, we need to raise the growth factor to the power of 2: (1.10)^2.
  • Step 5: Calculate (1.10)^2, which equals 1.21.
  • Step 6: Multiply the current population by the result from Step 5: 1,000 * 1.21.
  • Step 7: Calculate the final result: 1,000 * 1.21 = 1,210.
  • Exponential Growth – The question tests understanding of exponential growth, where a quantity increases by a fixed percentage over time.
  • Compound Interest Formula – The formula used (P(1 + r)^t) is similar to the compound interest formula, where P is the principal amount, r is the rate, and t is the time in years.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks