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In an examination, a student gets 20% of total marks and fails by 30 marks. Another student gets 32% of total marks which is more than the minimum pass marks by 42 marks. The pass percentage is
  • a)
    24%
  • b)
    25%
  • c)
    26%
  • d)
    28%
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In an examination, a student gets 20% of total marks and fails by 30 m...
Let the total marks be x
and pass marks be z
So, x * 20% = z - 30
x * 32% = z + 42
Implies, x * 12% = 72 or x = 600
z = 150
The required ratio = 150/600 = 25%
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Most Upvoted Answer
In an examination, a student gets 20% of total marks and fails by 30 m...
Given:
- Student A gets 20% of total marks and fails by 30 marks.
- Student B gets 32% of total marks, which is 42 marks more than the minimum pass marks.

To find:
The pass percentage.

Solution:

Let's assume the total marks for the examination is 'T' and the minimum pass marks is 'P'.

Step 1: Determine the equations

We can create two equations based on the given information:

Equation 1: Student A gets 20% of total marks and fails by 30 marks.
(20/100) * T = P - 30

Equation 2: Student B gets 32% of total marks, which is 42 marks more than the minimum pass marks.
(32/100) * T = P + 42

Step 2: Solve the equations

To solve the equations, we need to eliminate 'P' from the equations.

Multiplying Equation 1 by 100 and Equation 2 by 20:
20T = 100P - 3000
20T = 20P + 840

Subtracting Equation 2 from Equation 1:
0 = 80P - 3840

Dividing by 80 on both sides:
P = 48

Step 3: Calculate the pass percentage

The pass percentage is the percentage of marks required to pass the examination. Since the minimum pass marks are 48 out of a total of T marks, we can calculate the pass percentage as follows:

Pass percentage = (Pass marks / Total marks) * 100
Pass percentage = (48 / T) * 100

Step 4: Substitute the values

The pass percentage cannot be determined without the total marks, as 'T' is not given in the question. Therefore, the answer cannot be determined based on the given information.
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In an examination, a student gets 20% of total marks and fails by 30 marks. Another student gets 32% of total marks which is more than the minimum pass marks by 42 marks. The pass percentage isa)24%b)25%c)26%d)28%Correct answer is option 'B'. Can you explain this answer?
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