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# CAT 2019 Quant Question with Solution 31

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

1. 70
2. 60
3. 75
4. 80

Let the total score of the exam be 100x.

Meena’s before review = 40% of 100x = 40x.

Her score after review = 40x + 50%of 40x = 60x.

Passing marks = 60x+35. .. (1)

Her score after increasing it by 20% of post revie score = 60x+20% of 60x = 72x

Passing marks = 72x-7. … (2)

Equating (1) and (2)

72x-7 = 60x + 35

$\Rightarrow x=3.5$

Hence, Total Marks = 100x= 350 and passing marks = 60x+35 = 245

Therefore, passing percentage = $\frac{245}{350}\times 100=70%$

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