Direction: Study the following bar graph and answer the question that follows: The bar...
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Direction:** Study the following bar graph and answer the question that follows:
The bar graph shows the percentage of students who took Hindi, English or Sanskrit as optional subjects from 2015 to 2019.
Question: If the number of Sanskrit students in 2018 was 120 and the number of Hindi students in 2019 was 160, then what was the difference between the total number of students who took Hindi, English or Sanskrit as optional subjects in 2018 and 2019?
Show answer & explanation
Answer: C. 200
Analyze Year 2018**:
- From the chart, Sanskrit students accounted for $20%$ of the total students in 2018.
- Given number of Sanskrit students in 2018 = $120$.
- Let $N_{2018}$ be the total number of students in 2018:
$$0.20 \times N_{2018} = 120 \implies N_{2018} = \frac{120}{0.20} = 600$$
Analyze Year 2019:
- From the chart, Hindi students accounted for $40%$ of the total students in 2019.
- Given number of Hindi students in 2019 = $160$.
- Let $N_{2019}$ be the total number of students in 2019:
$$0.40 \times N_{2019} = 160 \implies N_{2019} = \frac{160}{0.40} = 400$$
Calculate Difference:
- The difference between the total number of students in 2018 and 2019 is:
$$\Delta N = |N_{2018} - N_{2019}| = |600 - 400| = \mathbf{200}$$
- The difference between the total number of students in 2018 and 2019 is:
Thus, the correct option is C.