Question

Student score 25%and failed by 30 marks while another student who scores 60%, got 40 marks more than pass mark. Find the pass mark

Answer 1

$<u><i><b>Hii Mate !!<b><i><u>$

Here is your answer !!

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$<i>Let the total marks be x<i>$

Marks obtained by Student A = 25% of x

Pass marks =



$\frac{25}{100} x \: + 30 \: \: \: \: \: \: \: \: \: \: \: (1)$

Marks obtained by Student 2 = 60% of x

Pass marks =



$\frac{60}{100}x - 40 \: \: \: \: \: \: \: \: \: \: \: \: \: (2)$



From ( 1 ) and ( 2 ) , We get

$\frac{25}{100}x \: + \: 30 = \: \frac{60}{100} x \: - \: 40 \\ \\ = > \frac{60}{100} x \: - \: \frac{25}{100} x \: = \: 30 \: + \: 40 \\ \\ = > \frac{35}{100} x \: = \: 70 \\ \\ = > x \: = \: 70 \: \times \: \frac{100}{35} \\ \\ = > x \: = \: 200 \: marks \\ \\ pass \: marks \: = \\ \\ \frac{25}{100} \: \times 200 \: + 30 \\ \\ = > 50 + 30 \\ \\ = > 70$

ANS ) The passing mark is 70

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Thanks !!