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 NUMBER OF STUDENTS |
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.]
Answer & explanation
Correct answer: option 2
Total students in Maths from college P & R = \(\frac{30 }{100}\) × 8000 + \(\frac{40 }{100}\) × 15000
= 2400 + 6000
= 8400
Total number of students in P & R = 8000 + 15000 = 23000
Required percentage = \(\frac{8400 }{2300}\) × 100
= 36.5%