Understanding Course Fee Increases from Table Data

The question asks us to find the course that had the lowest percentage fee increase from the year 2017 to the year 2018 based on the provided table data. To solve this, we need to examine the fees for each course in 2017 and 2018 and calculate the percentage increase for each.

Analyzing the Table for 2017 and 2018 Fees

Let's extract the relevant fee data for the years 2017 and 2018 for each course from the table:

Calculating Percentage Fee Increase

The formula for calculating the percentage increase is:

Percentage Increase $= \frac{\text{(Fee in 2018 - Fee in 2017)}}{\text{Fee in 2017}} \times 100$

Let's calculate the percentage increase for each course from 2017 to 2018:

• BCA Fee Increase:
  Increase in fee = $27200 - 26500 = 700$
  Percentage increase = $\frac{700}{26500} \times 100 \approx 2.64\%$
• MCA Fee Increase:
  Increase in fee = $54200 - 53500 = 700$
  Percentage increase = $\frac{700}{53500} \times 100 \approx 1.31\%$
• MTech Fee Increase:
  Increase in fee = $62500 - 61400 = 1100$
  Percentage increase = $\frac{1100}{61400} \times 100 \approx 1.79\%$
• MPhil Fee Increase:
  Increase in fee = $32600 - 32000 = 600$
  Percentage increase = $\frac{600}{32000} \times 100 = \frac{6}{320} \times 100 = \frac{3}{160} \times 100 = \frac{300}{160} = \frac{30}{16} = \frac{15}{8} = 1.875\%$

Comparing the Percentage Increases

Now, let's compare the calculated percentage increases for each course:

• BCA: $\approx 2.64\%$
• MCA: $\approx 1.31\%$
• MTech: $\approx 1.79\%$
• MPhil: $1.875\%$

Comparing these values, the lowest percentage fee increase from 2017 to 2018 is approximately $1.31\%$, which corresponds to the MCA course.

Revision Table: Course Fee Analysis

Additional Information: Understanding Percentage Change

Percentage change is a way to express how much a value has increased or decreased over time. It's a common calculation used in many fields, including finance, economics, and statistics.

• The formula for percentage change is $\frac{\text{(New Value - Old Value)}}{\text{Old Value}} \times 100$.
• If the result is positive, it's a percentage increase.
• If the result is negative, it's a percentage decrease (often expressed as a positive percentage decrease).
• This calculation helps in comparing changes across different scales. For example, a fee increase of $100 might be significant for a $1000 course (10% increase) but minor for a $10000 course (1% increase). Using percentages standardizes the comparison.

In this problem, we specifically looked at percentage increase from 2017 to 2018 to determine which course's fee grew the least relative to its starting fee in 2017.