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
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
Updated On: Jul 28, 2025
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The Correct Option is A
Solution and Explanation
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: \(\boxed{70\%}\)
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