The following table shows the marks scored by six students (A–F) in six different subjects S1 to S6 having maximum marks of 160, 160, 120, 120, 200, and 240 respectively. Based on the data in the table, answer the question that follows: Student-wise details of Marks ScoredStudents Marks Scored in Subject S1 (Out of 160) S2 (Out of 160) S3 (Out of 120) S4 (Out of 120) S5 (Out of 200) S6 (Out of 240) A 76 84 66 56 154 144 B 120 100 84 76 136 132 C 128 72 64 70 144 160 D 84 130 96 84 104 168 E 64 128 90 92 174 70 F 70 96 60 56 164 96
58 %
To determine the overall percentage of marks scored by student A, we need to calculate the total marks obtained by student A across all subjects and divide it by the total maximum possible marks across all subjects, then multiply by 100.
Student A Marks Calculation
First, let's list the marks scored by student A in each subject and the maximum marks for each subject:
| Subject | Marks Scored by A | Maximum Marks |
|---|---|---|
| S1 | 76 | 160 |
| S2 | 84 | 160 |
| S3 | 66 | 120 |
| S4 | 56 | 120 |
| S5 | 154 | 200 |
| S6 | 144 | 240 |
Total Marks Scored by Student A
Summing the marks scored by student A in all six subjects:
Total Marks = 76 + 84 + 66 + 56 + 154 + 144
Total Marks = 580
Total Maximum Marks
Summing the maximum marks possible in all six subjects:
Total Maximum Marks = 160 + 160 + 120 + 120 + 200 + 240
Total Maximum Marks = 1000
Overall Percentage Calculation
The overall percentage is calculated using the formula:
$ \text{Overall Percentage} = \left( \frac{\text{Total Marks Scored}}{\text{Total Maximum Marks}} \right) \times 100 $
Substituting the values for student A:
$ \text{Overall Percentage for A} = \left( \frac{580}{1000} \right) \times 100 $
$ \text{Overall Percentage for A} = 0.58 \times 100 $
$ \text{Overall Percentage for A} = 58\% $
Therefore, the overall percentage of marks scored by student A in all the subjects together is 58%.
Important Questions from Percentage
Radha saves 25% of her income. If her expenditure increases by 20% and her income increases by 29%, then her savings increase by;
The income of A is 45% more than the income of B and the income of C is 60% less than the sum of the incomes of A and B. The income of D is 20% more than that of C. If the difference between the incomes of B and D is Rs. 13200, then the income (in Rs.) of C is:
The price of cooking oil increased by 25%. Find by how much percentage a family must reduce its consumption in order to maintain the same budget.
The population of a city increased by 30% in the first year and decreased by 15% in the next year. If the present population is 11,050 then population 2 years ago was:
The income of A is 30% less than the income of B and the income of B is 137.5% more than that of C. If the income of A is Rs. 28500 less than that of B, then the income (in Rs.) of C is:
