The pie charts show placement percentages of graduates of five different subjects out of the total campus placements for two consecutive years. 
In the year 2024, the number of Maths students who got placed was the double that of the previous year. Which of the following is the closest to the percentage change in the number of Life Sciences students placed in the year 2024?
To find the percentage change in the number of Life Sciences students placed in 2024 compared to 2023, we start by observing the pie charts and using the given information.
From the pie charts, the percentages of placements for Life Sciences and Maths are as follows:
- 2023: Life Sciences = 44%, Maths = 7%
- 2024: Life Sciences = 43%, Maths = 9%
It is given that the number of Maths students who got placed in 2024 is double that of 2023. Let's denote the total number of students placed in 2023 as \(T_{2023}\) and in 2024 as \(T_{2024}\).
- Maths students placed in 2023 = \(0.07 \times T_{2023}\)
- Maths students placed in 2024 = \(0.09 \times T_{2024}\)
According to the problem, \(0.09 \times T_{2024} = 2 \times (0.07 \times T_{2023})\).
- \(0.09T_{2024} = 0.14T_{2023}\)
- \(T_{2024} = \frac{0.14}{0.09} \times T_{2023} \approx 1.555 \times T_{2023}\)
Now, calculate the number of Life Sciences students placed in each year:
- Life Sciences students placed in 2023 = \(0.44 \times T_{2023}\)
- Life Sciences students placed in 2024 = \(0.43 \times T_{2024}\)
Substituting \(T_{2024} \approx 1.555 \times T_{2023}\) into the equation for 2024:
- Life Sciences students placed in 2024 = \(0.43 \times 1.555 \times T_{2023} = 0.66865 \times T_{2023}\)
Percentage increase in the number of Life Sciences students:
- Change in numbers = \(0.66865 \times T_{2023} - 0.44 \times T_{2023} = 0.22865 \times T_{2023}\)
- Percentage increase = \(\left( \frac{0.22865 \times T_{2023}}{0.44 \times T_{2023}} \right) \times 100\% \approx 51.97\%\)
This calculation shows that the closest option is that the number of Life Sciences students placed in 2024 increased by 50%.
Therefore, the correct answer is: increased by 50%.
Important Questions from Data Interpetation (Notes)
- Answer the question on the basis of the informations given below :
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