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The ratio of marks obtained by a student in 3 subjects was 1 : 2 : 3. The school decided to allow grace marks of 5% for each subject. Find the student’s new ratio?
  • a)
    1 : 2 : 3
  • b)
    2 : 3 : 4
  • c)
    2 : 3 : 1
  • d)
    3 : 2 : 1
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The ratio of marks obtained by a student in 3 subjects was 1 : 2 : 3. ...
Given that ratio of marks in 3 subjects was x : 2x : 3x
Also given that 5% grace is allowed in each subject
⇒ Ratio's will become = 5x/100 : 10x/100 : 15x/100 = 5x : 10x : 15x = 1 : 2 : 3
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Most Upvoted Answer
The ratio of marks obtained by a student in 3 subjects was 1 : 2 : 3. ...
To find the student's new marks after the grace marks, we need to calculate the grace marks for each subject and add them to the initial marks.

Let's assume the initial marks for the three subjects are x, 2x, and 3x.

The grace marks for each subject would be 5% of the initial marks, which can be calculated as (5/100) * x = x/20.

Therefore, the new marks for the three subjects would be x + (x/20), 2x + (2x/20), and 3x + (3x/20).

Simplifying this expression, we get (20x + x)/20, (40x + 2x)/20, and (60x + 3x)/20.

This simplifies further to 21x/20, 42x/20, and 63x/20.

The ratio of the new marks for the three subjects is now (21x/20) : (42x/20) : (63x/20).

Simplifying this ratio, we get 1 : 2 : 3.

Therefore, even after adding the grace marks, the ratio of the student's marks in the three subjects remains unchanged.
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The ratio of marks obtained by a student in 3 subjects was 1 : 2 : 3. The school decided to allow grace marks of 5% for each subject. Find the student’s new ratio?a)1 : 2 : 3b)2 : 3 : 4c)2 : 3 : 1d)3 : 2 : 1Correct answer is option 'A'. Can you explain this answer?
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