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If a student scores 30% marks then he is failed by 50 marks, but when he scores 50% marks then he is passed by 30 marks. Find the passing %?
  • a)
    42.5%
  • b)
    33.33%
  • c)
    37.5%
  • d)
    40%
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If a student scores 30% marks then he is failed by 50 marks, but when ...
GIVEN:
Score 30% ⇒ failed by 50 marks
Scores 50% ⇒ passed by 30 marks
FORMULA USED:
Passing Percentage = (Passing Marks/Total marks) × 100
CALCULATION:
Let the Total marks be x
According to the question,
30% of x + 50 = 50% of x – 30
30x/100 + 50 = 50x/100 – 30
20x/100 = 80
x = 400
Passing marks = 30% of 400 + 50 = 120 + 50 = 170
Passing Percentage = (170/400) × 100 = 42.5%
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Most Upvoted Answer
If a student scores 30% marks then he is failed by 50 marks, but when ...
Let's assume the total marks for the examination are 'x'.

According to the given information, when the student scores 30% marks, he is failed by 50 marks. This can be represented as:

30% of x = x × 30/100 = (3x/10)
Failed marks = (3x/10) - x = -7x/10

Similarly, when the student scores 50% marks, he is passed by 30 marks. This can be represented as:

50% of x = x × 50/100 = (x/2)
Passing marks = (x/2) + 30

We can set up the following equation using the above information:

(x/2) + 30 - (7x/10) = x

Now, let's solve this equation to find the value of 'x' and the passing percentage.

Simplifying the equation:
(x/2) - (7x/10) = x - 30
(5x - 7x)/10 = x - 30
-2x/10 = x - 30
-2x = 10x - 300
12x = 300
x = 300/12
x = 25

Therefore, the total marks for the examination are 25.

Now, we can calculate the passing percentage.

Passing marks = (25/2) + 30 = 12.5 + 30 = 42.5

So, the passing percentage is 42.5%.

Hence, the correct answer is option 'A' - 42.5%.
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If a student scores 30% marks then he is failed by 50 marks, but when he scores 50% marks then he is passed by 30 marks. Find the passing %?a)42.5%b)33.33%c)37.5%d)40%Correct answer is option 'A'. Can you explain this answer?
Question Description
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