Study the given pie chart carefully and answer the question that follows. The pie chart below shows the marks scored by Raju in his tenth class, with a total of 554 marks. The values shown are in degrees. Of the total marks, in which subject is his scoring percentage the highest?
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The subject with the biggest angle (degree value) in the pie chart has the highest scoring percentage.
The scoring percentage of a subject is directly proportional to its degree value in the pie chart, since a bigger angle means a bigger share of the 554 total marks. So the subject with the highest percentage is simply the one with the largest degree value.
Step 1: List the degree value of every subject. 1st Language: 90 degrees Social: 80 degrees Science: 75 degrees Mathematics: 72 degrees English: 63 degrees Hindi: 60 degrees
Step 2: Pick the largest degree value among the given options (Science, Social, 1st Language, English, Hindi). The largest is 90 degrees, which belongs to 1st Language.
Step 3: Confirm using the percentage formula, percentage \(= \frac{\text{degree}}{360}\times 100\). 1st Language: \(\frac{90}{360}\times 100 = 25\%\), which is higher than Social (22.2%), Science (20.8%), English (17.5%) and Hindi (16.7%).
So Raju's scoring percentage is highest in 1st Language, option (c).
