Neha scored 37% marks and failed by 78 marks. If she scored 42% marks, she fails by 48 marks. Find by how much marks would she fail or pass if she scored 48% marks?

To solve this problem, let's break it down step by step:

Step 1: Determine the total marks for the exam. Since Neha failed by a certain number of marks, we need to find out the total marks for the exam. Let's denote it as "T".

Step 2: Calculate the passing marks for Neha. To find the passing marks, we need to subtract the failed marks from the total marks. Let's denote the passing marks as "P".

Step 3: Calculate the failed marks for Neha at 37%. We know that Neha scored 37% marks and failed by 78 marks. To find the failed marks, we can use the formula: Failed marks = (37/100) * T - 78

Step 4: Calculate the failed marks for Neha at 42%. We also know that Neha scored 42% marks and failed by 48 marks. Using the same formula as above, we can calculate the failed marks at 42%: Failed marks = (42/100) * T - 48

Step 5: Calculate the passing marks for Neha at 48%. Now, we need to find out how many marks Neha would fail or pass if she scored 48% marks. Using the formula from Step 2, we can calculate the passing marks at 48%: Passing marks = (48/100) * T

Step 6: Calculate the difference between the passing marks and the failed marks at 48%. To find out by how much marks Neha would fail or pass at 48%, we subtract the failed marks at 48% from the passing marks at 48%: Difference = Passing marks - Failed marks at 48%

By following these steps, we can determine by how much marks Neha would fail or pass if she scored 48% marks.