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.
| DISCIPLINES | COLLEGES | ||||
| P | Q | R | S | T | |
| SCIENCE | 25 | 35 | 45 | 28 | 35 |
| ECONOMICS | 45 | 40 | 15 | 42 | 25 |
| MATHEMATICS | 30 | 25 | 40 | 30 | 40 |
|
TOTAL |
8000 | 10000 | 15000 | 9000 | 11000 |
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%
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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