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
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%