In an exam one student get 25% marks and fails by 30 marks. Another student get 40% which is 60 more than the passing mark. Find full marks in the exam?

Questions : In an exam one student get 25% marks and fails by 30 marks. Another student get 40% which is 60 more than the passing mark. Find full marks in the exam ?

•  150
•  600
•  180 
•  None 

Answer:  

 Let the full marks of the exam be x and the passing marks be p.

Given conditions:

1. A student who scores 25% of full marks fails by 30 marks

   $$0.25x = p - 30$$

2. A student who scores 40% of full marks gets 60 marks more than the passing marks

   $$0.40x = p + 60$$

Solving for x:

We have two equations:

1. $0.25x = p - 30$
2. $0.40x = p + 60$

Subtract equation (1) from equation (2):

$$(0.40x - 0.25x) = (p + 60) - (p - 30)$$ $$0.15x = 90$$ $$x = \frac{90}{0.15} = 600$$

Answer:

The full marks in the exam are 600.

Additional Technique 

Here's how to solve this problem:

Let:

• 'x' be the full marks of the exam.
• 'p' be the passing marks.

Set up equations based on the given information:

• Student 1: 0.25x = p - 30 (25% of the full marks is 30 marks less than the passing mark)
• Student 2: 0.40x = p + 60 (40% of the full marks is 60 marks more than the passing mark)

Solve the equations:

One way to solve this is using substitution or elimination. Here's the substitution method:

1. Solve for 'p' in the first equation:

   p = 0.25x + 30

2. Substitute this value of 'p' into the second equation:

   0.40x = (0.25x + 30) + 60

3. Simplify and solve for 'x':

   0.40x = 0.25x + 90

   0.15x = 90

   x = 90 / 0.15

   x = 600

Answer:

The full marks in the exam are 600.

CBSE / NCERT / SAT/ UPSC 

You Can Translate It In Your Language :-

  EDUTICAL

Mock Test Click Here

Maddhamik Previous Year Solution Click Here

CBSE CLASS 10 History Notes Click Here

If you like this content, please CLICK any of the Ads In This Page.

Thank you 

Team EDUTICAL