A student has to secure 40% marks to pass a test. He got 30 marks and failed by 50 marks. What is themaximum marks of the test ?
Question
A student has to secure 40% marks to pass a test.
He got 30 marks and failed by 50 marks.
What is the maximum marks of the test?
Solution
To solve this problem, we first need to understand that the student failed by 50 marks, which means that these 50 marks are the difference between the passing mark (40%) and the marks he got (30 marks).
Step 1: Add the marks the student got to the marks by which he failed. 30 marks (marks he got) + 50 marks (marks by which he failed) = 80 marks (this is the passing mark)
Step 2: Now, we know that the passing mark (80 marks) is 40% of the total marks of the test. We can use this information to find the total marks.
Let's denote the total marks as 'x'.
So, 40% of 'x' is equal to 80 marks.
0.40x = 80
Step 3: To find 'x', we divide both sides of the equation by 0.40
x = 80 / 0.40
x = 200
So, the maximum marks of the test are 200.
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