Study the given table carefully and answer the question that follows : The following table gives the marks obtained by 6 students in 6 different subjects in an examination. Note: The number in the bracket gives the maximum marks in each subject. Subject (Max Marks) Student Physics (100) Chemistry (100) Math (100) History (50) Computer Science (50) Hindi (50) A 80 76 68 40 36 24 B 90 68 72 42 38 26 C 85 81 75 38 32 31 D 75 79 58 28 28 34 E 45 65 62 31 29 28 F 68 72 68 26 34 30
What is the percentage of total marks obtained by student A?
72
Understanding Student Marks Data
The question asks us to determine the percentage of total marks obtained by student A based on the provided table. The table shows the marks secured by six students (A, B, C, D, E, F) in six different subjects: Physics, Chemistry, Math, History, Computer Science, and Hindi. The maximum marks for each subject are given in brackets in the table header.
| Subject (Max Marks) | Physics (100) | Chemistry (100) | Math (100) | History (50) | Computer Science (50) | Hindi (50) |
|---|---|---|---|---|---|---|
| Student A | 80 | 76 | 68 | 40 | 36 | 24 |
| Student B | 90 | 68 | 72 | 42 | 38 | 26 |
| Student C | 85 | 81 | 75 | 38 | 32 | 31 |
| Student D | 75 | 79 | 58 | 28 | 28 | 34 |
| Student E | 45 | 65 | 62 | 31 | 29 | 28 |
| Student F | 68 | 72 | 68 | 26 | 34 | 30 |
Calculating Total Marks for Student A
First, we need to find the total marks obtained by student A across all six subjects. From the table, student A's marks are:
- Physics: 80
- Chemistry: 76
- Math: 68
- History: 40
- Computer Science: 36
- Hindi: 24
The total marks obtained by student A is the sum of these marks:
\[ \text{Total Marks (A)} = 80 + 76 + 68 + 40 + 36 + 24 \] \[ \text{Total Marks (A)} = 324 \]
Calculating Total Maximum Marks
Next, we need to find the total maximum marks for all six subjects combined. From the table header, the maximum marks for each subject are:
- Physics: 100
- Chemistry: 100
- Math: 100
- History: 50
- Computer Science: 50
- Hindi: 50
The total maximum marks is the sum of these maximum marks:
\[ \text{Total Maximum Marks} = 100 + 100 + 100 + 50 + 50 + 50 \] \[ \text{Total Maximum Marks} = 450 \]
Calculating Percentage of Marks for Student A
To find the percentage of total marks obtained by student A, we use the formula:
\[ \text{Percentage} = \left( \frac{\text{Total Marks Obtained}}{\text{Total Maximum Marks}} \right) \times 100 \]
Plugging in the values for student A:
\[ \text{Percentage (A)} = \left( \frac{324}{450} \right) \times 100 \] \[ \text{Percentage (A)} = 0.72 \times 100 \] \[ \text{Percentage (A)} = 72\% \]
So, the percentage of total marks obtained by student A is 72%.
Revision Table: Key Calculations
| Description | Calculation | Result |
|---|---|---|
| Total Marks Obtained by A | \(80 + 76 + 68 + 40 + 36 + 24\) | 324 |
| Total Maximum Marks | \(100 + 100 + 100 + 50 + 50 + 50\) | 450 |
| Percentage for A | \( \left( \frac{324}{450} \right) \times 100 \) | 72% |
Additional Information: Percentage Calculation Basics
Calculating percentages from raw scores is a common practice in understanding performance, especially in examinations. A percentage represents a fraction of a whole, expressed as a number out of 100.
The basic formula for calculating percentage is:
\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \]
In the context of marks, the 'Part' is the total marks obtained by a student, and the 'Whole' is the total maximum marks possible in the examination.
This calculation helps in comparing performance across different tests or students, even if the maximum possible marks vary.
Important Questions from Tabulation
The table shows District-wise data of a number of primary school teachers posted in schools of a city.
Study the table and answer the question:
District
Male teachers
Female teachers
East
1650
2375
North
1075
2651
West
1280
1520
South
1170
1085
Central
690
859
What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.
Source
Amit
Suresh
Nitin
Varun
Salary
35000
38500
29000
42000
Arrears
6000
6300
5000
7500
Bonus
1000
1100
1000
1240
Overtime
1800
1950
1400
1500
What is the ratio of salary of Varun to his income other than salary?Study the table and answer the question:
Income (Rs.)
No. of persons
Less than 200
12
Less than 250
26
Less than 300
34
Less than 350
40
Less than 400
50
What is the percentage of persons earning Rs. 250 or more?The following table shows the annual profit of a company (in Rs. lakh).
2014-2015
2015-2016
2016-0217
2017-2018
2018-2019
625
690
725
775
815
The period which has the maximum percentage increase in profit over the previous year is:
The table given below shows the number of persons participating in a survey from 6 different states.
States Persons S1 100 S2 200 S3 400 S4 500 S5 600 S6 800 What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?
