Discussion
Following pie chart provide the percentage compositions of students from a state enrolled in different faculty in 2001 and 2002 whereas bar chart provides total number of students between the years 2001-2004.
| Faculty | Year 2001 | Year 2002 |
|---|---|---|
| Pharmacy | 7% | 9% |
| Agriculture | 8% | 5% |
| Science | 16% | 22% |
| Commerce | 24% | 24% |
| Engineering | 20% | 19% |
| Arts | 13% | 11% |
| Medicine | 12% | 10% |
Following bar chart provides the total number of students from that particular state across four years - 2001 to 2004.
2001: 35000
2002: 40000
2003: 43000
2004: 48000
In which faculty there was decrease in the number of students from 2001 to 2002?
Answer: C
The number of students fell in Agriculture.
The bar chart gives about 35000 students in 2001 and 40000 in 2002. Multiply each year's total by the faculty's share.
\[ \begin{aligned} \text{Agri. 2001} &= 8\% \times 35000 = 2800 \\ \text{Agri. 2002} &= 5\% \times 40000 = 2000 \end{aligned} \]
Agriculture fell by 800 students. The other two named faculties grew: Commerce went from \(24\% \times 35000 = 8400\) to \(24\% \times 40000 = 9600\), and Pharmacy from 2450 to 3600. 'None' is wrong because a falling share can mean a falling number even when the total rises, as it does for Agriculture.
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