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. 80
C. 75
D. 60

Answer 1

Meena's performance on an exam improved after review, and by analyzing the increases and the marks required to pass, we can determine that the passing score for the exam is 80%.The correct answer is B.

Step-by-step explanation:

Let's denote Meena's original score as m marks. She scores 40% on the exam, after review her score increases by 50%, and she then fails by 35 marks. This means her reviewed score is m + (50/100)m = 1.5m. If she still fails by 35 marks, this means the passing score is 1.5m + 35.

Now, if her post-review score is increased by another 20%, she will have 7 marks more than the passing score, meaning (1.2)(1.5m) = 1.5m + 35 + 7, which simplifies to 1.8m = 1.5m + 42. Solving gives m = 70 marks. Given that 40% of the total marks is 70, the total marks T of the exam is T = 70/(40/100) = 175 marks. The passing score is then 1.5m + 35 = 1.5(70) + 35 = 105 + 35 = 140 marks. Therefore, the percentage score needed for passing is 140 / 175 = 0.8 or 80%.

The correct answer is B. 80%.