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%.
Related Questions
Question : The following table shows the number of students of class 6, class 7, class 8, class 9 and class 10, in schools A, B and C.
| Class | Class 6 | Class 7 | Class 8 | Class 9 | Class 10 |
| School | |||||
| School A | 25 | 45 | 35 | 55 | 80 |
| School B | 65 | 45 | 55 | 45 | 20 |
| School C | 35 | 65 | 40 | 25 | 30 |
What is the total number of students in class 9 and class 10, taken together, in school B?
Option 1: 55
Option 2: 100
Option 3: 135
Option 4: 65
Question : The table given below shows the number of students from five classes playing different games.
| Class | Games | ||
| A | B | C | |
| 6th | 30 | 50 | 70 |
| 7th | 60 | 20 | 35 |
| 8th | 40 | 10 | 90 |
| 9th | 38 | 26 | 50 |
| 10th | 25 | 32 | 20 |
Which of the following statements is correct?
I. The average number of students playing A and B in the 9th class is 32.
II. The average number of students playing A and C in the 8th class is 75.
III. The total number of students playing all three games in the 10th class is 77.
Option 1: II and III
Option 2: I, II and III
Option 3: I and III
Option 4: I and II
Question : The following table shows the expenditure of a family in the years 2018 and 2019.
| Articles | Expenditure(in Rs.) | |
| 2018 | 2019 | |
| Education | 24000 | 30000 |
| Housing | 40000 | 48000 |
| Entertainment | 4000 | 3600 |
| Food | 15000 | 15500 |
| Clothing | 5600 | 3800 |
What is the percentage increase or decrease in the total expenditure in 2019 from 2018?
Option 1: 20.33% increase
Option 2: 11.44% decrease
Option 3: 13.88% increase
Option 4: 12.11% decrease
Question : The table given below shows the number of students in 6 different schools.
| Schools | Students |
| A | 120 |
| B | 60 |
| C | 70 |
| D | 80 |
| E | 30 |
| F | 50 |
The number of students in school A is what percentage of the number of students in school F?
Option 1: 41.66%
Option 2: 200%
Option 3: 240%
Option 4: 120%
Question : Different choices made by a group of 200 students are given below in percentage. The number of students who have taken neither Science nor Commerce is:
| Percentage of students in different streams | |
| Name of streams | Intake Ratio |
| Science | 29% |
| Arts | 29% |
| Commerce | 31% |
| Home Science | 6% |
| Others | 5% |
Option 1: 80
Option 2: 120
Option 3: 60
Option 4: 40
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