A got 25% of the maximum marks in an examination and failed by 75 marks. However, B who took the same examination got 50% of the total marks and got 125 marks more than the passing marks. What were the passing marks in the examination?Options800  200  125275

Let's solve this step by step:

1. Let's assume the maximum marks in the examination are 'x'.

2. According to the problem, A got 25% of the maximum marks and failed by 75 marks. So, the passing marks would be 25% of 'x' + 75. We can write this as 0.25x + 75.

3. On the other hand, B got 50% of the total marks and got 125 marks more than the passing marks. So, the passing marks would be 50% of 'x' - 125. We can write this as 0.50x - 125.

4. Since the passing marks are the same in both cases, we can equate the two equations:

   0.25x + 75 = 0.50x - 125

5. Solving this equation for 'x' gives us:

   0.50x - 0.25x = 75 + 125 0.25x = 200 x = 200 / 0.25 x = 800

6. Now, substitute x = 800 in the equation 0.25x + 75 to find the passing marks:

   Passing marks = 0.25*800 + 75 = 200 + 75 = 275

So, the passing marks in the examination were 275.