The table given below shows the marks obtained by 4 students in 5 subjects. The maximum marks of each subject is 100. Subjects Students P1 P2 P3 P4 S1 89 100 92 91 S2 62 52 72 37 S3 57 55 70 65 S4 76 85 76 58 S5 85 70 66 62 What is the total percent marks of P4?
62.6%
Calculating Total Percentage Marks for Student P4
The question asks us to determine the total percentage marks obtained by student P4 based on the given table showing marks in 5 subjects. The maximum marks for each subject is 100.
| Subjects | Students | P1 | P2 | P3 | P4 |
|---|---|---|---|---|---|
| S1 | 89 | 100 | 92 | 91 | |
| S2 | 62 | 52 | 72 | 37 | |
| S3 | 57 | 55 | 70 | 65 | |
| S4 | 76 | 85 | 76 | 58 | |
| S5 | 85 | 70 | 66 | 62 |
Step-by-Step Calculation of P4's Percentage Marks
To find the total percentage marks for student P4, we need to follow these steps:
- Identify the marks obtained by student P4 in each subject.
- Calculate the sum of the marks obtained by P4 in all subjects.
- Calculate the maximum possible total marks across all subjects.
- Use the formula for percentage to find the total percentage marks.
1. Marks Obtained by P4 in Each Subject:
Looking at the table, the marks for P4 in each subject are:
- S1: 91
- S2: 37
- S3: 65
- S4: 58
- S5: 62
2. Total Marks Obtained by P4:
Now, we sum up the marks obtained by P4 in all 5 subjects:
\text{Total Marks for P4} = \text{Marks in S1} + \text{Marks in S2} + \text{Marks in S3} + \text{Marks in S4} + \text{Marks in S5}
\text{Total Marks for P4} = 91 + 37 + 65 + 58 + 62
\text{Total Marks for P4} = 313
3. Maximum Possible Total Marks:
Since the maximum marks for each subject is 100 and there are 5 subjects, the maximum possible total marks are:
\text{Maximum Total Marks} = \text{Maximum Marks per Subject} \times \text{Number of Subjects}
\text{Maximum Total Marks} = 100 \times 5
\text{Maximum Total Marks} = 500
4. Calculate the Total Percentage Marks for P4:
The formula to calculate the total percentage marks is:
\text{Percentage} = \left( \frac{\text{Total Marks Obtained}}{\text{Maximum Total Marks}} \right) \times 100\%
Using the total marks obtained by P4 (313) and the maximum total marks (500):
\text{Percentage for P4} = \left( \frac{313}{500} \right) \times 100\%
\text{Percentage for P4} = 0.626 \times 100\%
\text{Percentage for P4} = 62.6\%
Therefore, the total percent marks of P4 is 62.6%.
Revision Table: Key Calculations for Student P4
| Description | Value | Calculation |
|---|---|---|
| P4 Marks (S1) | 91 | From table |
| P4 Marks (S2) | 37 | From table |
| P4 Marks (S3) | 65 | From table |
| P4 Marks (S4) | 58 | From table |
| P4 Marks (S5) | 62 | From table |
| Total Marks for P4 | 313 | 91 + 37 + 65 + 58 + 62 |
| Maximum Marks per Subject | 100 | Given |
| Number of Subjects | 5 | From table/context |
| Maximum Total Marks | 500 | 100 × 5 |
| Total Percentage for P4 | 62.6% | (313 / 500) × 100% |
Additional Information: Understanding Percentages
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", or the abbreviation "pct.". In the context of marks, the percentage represents the proportion of marks obtained out of the maximum possible marks, scaled to 100.
The general formula for calculating a percentage is:
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100\%
In this problem:
- The "Part" is the total marks obtained by the student P4 (313).
- The "Whole" is the maximum possible total marks (500).
Calculating percentages is a common application in academics, finance, and statistics to compare quantities relative to a total.
Important Questions from Tabulation
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
38000
29000
42000
Arrears
6000
6300
5000
7500
Bonus
1000
1100
1000
1240
Overtime
1800
1950
1400
1500
By what percent are the Arrears of Amit and Suresh taken together less than the Arrears of Nitin and Varun taken together?The table given below shows the GDP of two countries in different five years.
Country Years A B Y1 175 285 Y2 200 300 Y3 150 125 Y4 75 85 Y5 50 95 K1 = The value of average GDP of country A in all the 5 years.
K2 = The value of average GDP of country B in all the 5 years.
What is the value of (K1 + K2)?
Study the Table Properly and answer by interpreting the data
The table shows the percentage population of five districts in a state below poverty line and the proportion of males and females.
District Percentage of population
below poverty levelProportion of Male and Female Below poverty line (M:F) Above poverty Line (M:F) D1 15 2 : 3 3 : 2 D2 18 3 : 4 7 : 5 D3 20 2 : 5 3 : 4 D4 25 5 : 2 4 : 3 D5 12 3 : 7 2 : 7 If the total population in the district D3 is 40,000, then what is the population of below poverty line in the district D3, ?
The data given below shows the number of people who have saved a certain amount of money.
Savings
(in Rs.)
Number of people
5
1
15
3
20
4
25
2
30
1
35
1
40
2
What is the mode of the given data?
The table given below shows the runs scored by 4 different batsmen B1, B2, B3, and B4 in 5 different matches of a series.
Matches
M1
M2
M3
M4
M5
B1
120
95
83
86
20
B2
12
8
0
196
52
B3
23
36
45
19
27
B4
56
65
85
45
42
What is the difference in the total number of runs scored by B1 and B4 in these 5 matches?
