# In an exam, the passing marks are 37.5%. A got 33.33% more marks than passing marks and B failed by 50 marks. If B's marks are 62.5% of A's marks, the

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In an exam, the passing marks are 37.5%. A got 33.33% more marks than passing marks and B failed by 50 marks. If B's marks are 62.5% of A's marks, then find the passing marks.
1. 200
2. 321
3. 353
4. 300

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Correct Answer - Option 4 : 300

Given:

In an exam, the passing marks are 37.5%. A got 33.33% more marks than passing marks and B failed by 50  marks. If B's marks are 62.5% of A's marks.

Concept used:

Percentage

Calculation:

Let the maximum marks be a

Passing marks = $\frac{{37.5x}}{{100}} = \frac{{3a}}{8}$

A got 33.33% more marks than passing marks.

A's marks = $\frac{{3a}}{8} × \frac{4}{3} = \frac{a}{2}$

B failed by 50 marks

B's marks = $\frac{{3a}}{8} - 50$

B's marks are 62.5% of A's marks

⇒ $\frac{{3a}}{8} - 50 = \frac{a}{2} × \frac{{62.5}}{{100}}$

⇒ $\frac{{3a}}{8} - 50 = \frac{a}{2} × \frac{5}{8}$

⇒ $\frac{{3a}}{8} - \frac{{5a}}{{16}} = 50$

⇒ a = 16 × 50

⇒ a = 800

Passing marks = (3a/8) = 300

∴ The passing marks is 300.