Select the correct answerA scores 10% and fails by 30 marks.B scores 40% marks and gets 30 marks more than the minimum marks needed to pass the exam. What are the maximum marks for the exam?Options200700500300

To solve this problem, we need to set up two equations based on the information given and then solve for the unknown, which is the maximum marks for the exam.

1. From the information about student A, we know that A scored 10% of the total marks and was short of passing by 30 marks. This can be written as: 0.10 * Total Marks + 30 = Pass Mark

2. From the information about student B, we know that B scored 40% of the total marks and this was 30 marks more than needed to pass. This can be written as: 0.40 * Total Marks = Pass Mark + 30

Now we can solve these two equations simultaneously to find the total marks.

First, let's isolate Pass Mark in the first equation: Pass Mark = 0.10 * Total Marks + 30

Then, substitute this into the second equation: 0.40 * Total Marks = 0.10 * Total Marks + 30 + 30 0.40 * Total Marks = 0.10 * Total Marks + 60 0.30 * Total Marks = 60 Total Marks = 60 / 0.30 Total Marks = 200

So, the maximum marks for the exam is 200. Therefore, the correct answer is 200.