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 production of five companies in two years.
Company | Years | |
L | M | |
P | 150 | 200 |
Q | 190 | 220 |
R | 130 | 180 |
S | 180 | 150 |
T | 120 | 140 |
Which of the following statements is NOT correct?
I. The average production of P, Q, R, and S in year L is 172.5.
II. The ratio of the production of T in year L to the production of T in year M is 6 : 7.
Option 1: Only I
Option 2: Both I and II
Option 3: Neither I nor II
Option 4: Only II
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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