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Question

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 Scored

Students 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)
A76846656154144
B1201008476136132
C128726470144160
D841309684104168
E64128909217470
F7096605616496

What is overall percentage of marks scored by student A in all the subjects together?

The correct answer is

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:

SubjectMarks Scored by AMaximum Marks
S176160
S284160
S366120
S456120
S5154200
S6144240


 

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%.

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Important Questions from Percentage

  1. In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination?

  2. What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600?

  3. Population of a village is 7960 in which 4660 are female. If in that village 60% are literate in which 70% female are literate, then what is the number of literate male ?

  4. The numbers of students of three classes of a school are in the ratio 4 : 5 : 6. If numbers of students in these classes increase by 25%, 20% and 25% respectively, then ratio of numbers of students will become:

  5. In an examination, Ram obtained 20 % more than Ashok but 10% less than Rajesh. If the marks obtained by Ashok is 1080. Then the Percentage marks obtained by Rajesh if the full marks is 2000 ;

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