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A student obtained 87 average marks in 8 subjects. If the students highest gaining subject is 2 marks more than the second-ranked subject. If these two subjects are eliminated then the average of the remaining subjects will become 85. The highest marked subject is:
  • a)
    91
  • b)
    89
  • c)
    94
  • d)
    96
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A student obtained 87 average marks in 8 subjects. If the students hi...
Let the highest marks obtained by the student be x
Then, second-highest marks x = 2
Sum of marks of these 2 subjects = (87 x 8) - (85 x 6)
Hence, the correct option is (C).
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Most Upvoted Answer
A student obtained 87 average marks in 8 subjects. If the students hi...
To solve this question, we can use the concept of averages and equations. Let's break down the information given and solve step by step.

Given:
- The student obtained an average of 87 marks in 8 subjects.
- The highest gaining subject is 2 marks more than the second-ranked subject.
- If these two subjects are eliminated, the average of the remaining subjects becomes 85.

Step 1: Understanding the given information
Let's assume the second-ranked subject has 'x' marks. According to the given information, the highest gaining subject will have 'x + 2' marks.

Step 2: Calculating the total marks
Since the average is calculated by dividing the total marks by the number of subjects, we can calculate the total marks obtained by the student.
Total marks = Average × Number of subjects
Total marks = 87 × 8 = 696

Step 3: Setting up equations
Now, let's set up equations based on the given information.
Equation 1: (x + (x + 2)) + (6 × 85) = 696
The left side of the equation represents the total marks obtained by the student in the two highest gaining subjects and the remaining 6 subjects. The right side represents the total marks obtained in all 8 subjects.

Step 4: Solving the equation
Simplifying equation 1:
2x + 2 + 510 = 696
2x + 512 = 696
2x = 696 - 512
2x = 184
x = 92

Step 5: Finding the highest gaining subject
According to the given information, the highest gaining subject is 2 marks more than the second-ranked subject.
Highest gaining subject = x + 2 = 92 + 2 = 94

Therefore, the correct answer is option 'C' - 94 marks.
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A student obtained 87 average marks in 8 subjects. If the students highest gaining subject is 2 marks more than the second-ranked subject. If these two subjects are eliminated then the average of the remaining subjects will become 85. The highest marked subject is:a)91b)89c)94d)96Correct answer is option 'C'. Can you explain this answer?
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