Question : Study the given table and answer the question that follows. The table below shows the percentage distribution of students from five different colleges in various disciplines.
TOTAL NUMBER OF STUDENTS
Students from the discipline of mathematics in colleges P and R taken together is what percentage of the total number of students in colleges P and R taken together? [Give your answer correct to one decimal place.]
Option 1: 36.9%
Option 2: 36.5%
Option 3: 37.2%
Option 4: 37.5%
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Correct Answer: 36.5%
Solution : Total students in P and R = Students in P + Students in R = 8000 + 15000 = 23000 Students in Mathematics in P and R = = 30% of 8000 + 40% of 15000 = 0.3 × 8000 + 0.4 × 15000 = 2400 + 6000 = 8400 Required percentage = $\frac{\text{Students in Mathematics in P and R}}{\text{Total students in P and R}}$×100% = $\frac{\text{8400}}{\text{23000}}$×100% = 36.5% Hence, the correct answer is 36.5%.
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