Question : Study the given pie chart and answer the question that follows.
Percentage-wise distribution of teachers in six different subjects in a school is given in the pie chart. The total number of teachers is 600. The ratio of male and female teachers is 3: 1.
Find the ratio of teachers in English, Sanskrit, and Hindi to teachers in Mathematics, Biology, and Social Studies.
Option 1: 2 : 5
Option 2: 1 : 2
Option 3: 2 : 3
Option 4: 1 : 5
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Correct Answer: 2 : 3
Solution :
Number of teachers in English = $\frac{20}{100} \times 600$ = 120
Number of teachers in Sanskrit = $\frac{10}{100} \times 600$ = 60
Number of teachers in Hindi = $\frac{10}{100} \times 600$ = 60
Total number of teachers in English, Sanskrit, and Hindi = 120 + 60 + 60 = 240
Number of teachers in Mathematics = $\frac{20}{100} \times 600$ = 120
Number of teachers in Biology = $\frac{20}{100} \times 600$ = 120
Number of teachers in Social Studies = $\frac{20}{100} \times 600$ = 120
Total number of teachers in Mathematics, Biology, and Social Studies = 120 + 120 + 120 = 360
The ratio of teachers in English, Sanskrit, and Hindi to teachers in Mathematics, Biology, and Social Studies = 240 : 360 = 20 : 30 = 2 : 3
Hence, the correct answer is 2 : 3.
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