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 lowest?
Show Hint
The subject with the smallest angle (degree value) in the pie chart has the lowest scoring percentage.
The scoring percentage of a subject depends directly on its degree value, since a smaller angle means a smaller share of the total 554 marks. So the subject with the lowest percentage is the one with the smallest 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 smallest degree value among the given options (Science, Social, 1st Language, English, Hindi). The smallest is 60 degrees, which belongs to Hindi.
Step 3: Confirm using the percentage formula, percentage \(= \frac{\text{degree}}{360}\times 100\). Hindi: \(\frac{60}{360}\times 100 = 16.7\%\), which is lower than English (17.5%), Mathematics (20%), Science (20.8%), Social (22.2%) and 1st Language (25%).
So Raju's scoring percentage is lowest in Hindi, option (e).
