A student scored 40% in an exam and failed by 12 marks, if he get 55% it would he 36 marks more than the passing marks. Find the passing marks?*1 point

Sure, let's solve this step by step:

1. The student scored 40% and still failed by 12 marks. This means the passing mark is 40% of total marks + 12.

2. If the student scored 55%, he would get 36 marks more than the passing marks. This means the passing mark is 55% of total marks - 36.

Since the passing mark is the same in both cases, we can set up the following equation:

40% of total marks + 12 = 55% of total marks - 36

To solve for the total marks, we can first convert the percentages to decimals (40% = 0.4, 55% = 0.55), then solve the equation:

0.4 * total marks + 12 = 0.55 * total marks - 36

Combine like terms:

0.15 * total marks = 48

Finally, solve for total marks:

total marks = 48 / 0.15 = 320

So, the total marks for the exam is 320. To find the passing marks, we can substitute total marks into the equation from step 1:

Passing marks = 0.4 * 320 + 12 = 128 + 12 = 140

So, the passing marks for the exam is 140.