Question

Arun got 30% of the maximum marks in an examination and failed by 10 marks. however, sujith who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. what were the passing marks in the examination? (a) 90 (b) 250 (c) 75 (d) 85

Answer 1

I think it is helpful to you.

Answer 2

Answer:

85

Step-by-step explanation:

Let the total marks be x

Arun got 30% and failed by 10 marks.

So, Passing marks = $\frac{30}{100}x+10$ ---1

Sujith who took the same examination got 40% of the total marks and got 15 marks more than the passing marks.

So, Passing marks = $\frac{40}{100}x-15$  --- 2

So, Equate 1 and 2

$\frac{30}{100}x+10=\frac{40}{100}x-15$

$25=\frac{10}{100}x$

$25 \times \frac{100}{10}=x$

$250=x$

Passing marks = $\frac{30}{100}x+10=\frac{30}{100}(250)+10=85$

Hence the passing marks in the examination is 85