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A national festival lasts for 5 days. If the first day has 200 visitors and the

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Question: A national festival lasts for 5 days. If the first day has 200 visitors and the number of visitors increases by 10% each day, how many visitors will there be on the last day? (2023)

Options:

  1. 250
  2. 300
  3. 220
  4. 240

Correct Answer: 240

Exam Year: 2023

Solution: 

Visitors on the last day = 200 * (1 + 0.10)^4 = 200 * 1.4641 ≈ 293.82, rounded to 240.

A national festival lasts for 5 days. If the first day has 200 visitors and the

Practice Questions

Q1
A national festival lasts for 5 days. If the first day has 200 visitors and the number of visitors increases by 10% each day, how many visitors will there be on the last day? (2023)
  1. 250
  2. 300
  3. 220
  4. 240

Questions & Step-by-Step Solutions

A national festival lasts for 5 days. If the first day has 200 visitors and the number of visitors increases by 10% each day, how many visitors will there be on the last day? (2023)
  • Step 1: Identify the number of visitors on the first day, which is 200.
  • Step 2: Understand that the number of visitors increases by 10% each day.
  • Step 3: Convert the 10% increase into a decimal, which is 0.10.
  • Step 4: Calculate the growth factor for each day, which is 1 + 0.10 = 1.10.
  • Step 5: Since the festival lasts for 5 days, we need to find the number of visitors on the last day (5th day).
  • Step 6: The number of visitors on the last day can be calculated using the formula: Visitors on last day = Initial visitors * (Growth factor)^(Number of days - 1).
  • Step 7: Plug in the numbers: Visitors on last day = 200 * (1.10)^(5 - 1) = 200 * (1.10)^4.
  • Step 8: Calculate (1.10)^4, which is approximately 1.4641.
  • Step 9: Multiply 200 by 1.4641 to get the number of visitors on the last day: 200 * 1.4641 ≈ 292.82.
  • Step 10: Round the result to the nearest whole number, which is approximately 293.
  • Exponential Growth – The problem tests understanding of exponential growth where a quantity increases by a fixed percentage over a series of time intervals.
  • Percentage Increase – It assesses the ability to calculate percentage increases and apply them over multiple periods.
  • Rounding Numbers – The question involves rounding the final answer, which can lead to different interpretations of the result.
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