Question

Meena scores 40% in an examination and after review, even though her score is increased by 50%, she fails by 35 marks. If her post-review score is increased by 20%, she will have 7 marks more than the passing score. The percentage score needed for passing the examination is

• A. 70
• B. 60
• C. 75
• D. 80

Answer 1

The Correct Option is A

Let's determine the percentage score needed for passing the examination using the given information.

Let the maximum marks in the examination be \(x\). 

Initially, Meena scores 40%, so her initial score is: \(0.4x\)

After a review, her score increases by 50%. The new score is: \(0.4x + 0.5 \times 0.4x = 0.6x\)

She still fails by 35 marks, so passing marks are: \(0.6x + 35\)

Now, if her post-review score is increased by another 20%, she scores 7 marks more than the passing marks:

\(0.6x + 0.2 \times 0.6x = 0.72x\)

So, \(0.72x = 0.6x + 35 + 7 = 0.6x + 42\)

Subtracting, we get: \(0.12x = 42 \Rightarrow x = \frac{42}{0.12} = 350\)

Now, compute passing marks: \(0.6x + 35 = 0.6 \times 350 + 35 = 245\)

Therefore, the passing percentage is: \(\frac{245}{350} \times 100 = 70\%\)

Final Answer: \(\boxed{70\%}\)