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: Aug 21, 2024
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The Correct Option is A
Solution and Explanation
Let the overall score of the exam be denoted as 100x.
Meena's score before the review is 40% of 100x = 40x.
Her score after the review is 40x + 50%of 40x = 60x.
The passing marks are calculated as = 60x + 35 (Equation 1).
Her score, after increasing it by 20% of the post-review score, is 72x. The corresponding passing marks are 72x - 7 (Equation 2).
By equating Equations 1 and 2:
72x - 7 = 60x + 35
⇒ x = 3.5
Hence, the total marks are 100x = 350, and the passing marks are 60x + 35 = 245.
∴ the passing percentage is 245/350 × 100 = 70%
Meena's score before the review is 40% of 100x = 40x.
Her score after the review is 40x + 50%of 40x = 60x.
The passing marks are calculated as = 60x + 35 (Equation 1).
Her score, after increasing it by 20% of the post-review score, is 72x. The corresponding passing marks are 72x - 7 (Equation 2).
By equating Equations 1 and 2:
72x - 7 = 60x + 35
⇒ x = 3.5
Hence, the total marks are 100x = 350, and the passing marks are 60x + 35 = 245.
∴ the passing percentage is 245/350 × 100 = 70%
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