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In an examination, Manikarnika got 30% of total marks and got failed by 30 marks. If she could get 30% more marks than what she actually got then she would have got 45 marks more than just passing marks. Find the maximum approximate marks in the examination.

In an examination, Manikarnika got 30% of total marks and got failed by 30 marks. If she could get 30% more marks than what she actually got then she would have got 45 marks more than just passing marks. Find the maximum approximate marks in the examination. Correct Answer 833

Let the total marks be x

So, Manikarnika got 30% of x = 3x/10

So, passing marks = 3x/10 + 30

Now, according to question

3x/10 × 130% = (3x/10 + 30) + 45

⇒ 39x/100 = 3x/10 + 77

⇒ 9x/100 = 75

⇒ x = 7500/9 = 833.33

∴ 833 marks 

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