In an examination, a person scores 117 marks more than the passing marks. The passing marks in the examination are 36% of the total marks in the examination. If he got 75% of the total marks, what were the total marks in the examination?
Answer (2)
The total marks in the examination are 300. This was found by setting up equations based on the passing marks and the student's score. By solving the equation, we determined that the total marks equal 300.
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To solve this problem, we need to find out what the total marks in the examination are. Let's break down the information given:
Let the total marks in the examination be denoted as x .
The passing marks are said to be 36% of the total marks, so the passing marks can be expressed as 0.36 x .
It is given that the person scores 117 marks more than the passing marks. Therefore, the marks that the person scored can be expressed as 0.36 x + 117 .
The person actually scored 75% of the total marks. Thus, the marks scored can also be written as 0.75 x .
Now, equate the two expressions for the marks scored:
0.36 x + 117 = 0.75 x
Subtract 0.36 x from both sides to solve for x :
117 = 0.75 x − 0.36 x 117 = 0.39 x
Now, solve for x by dividing both sides by 0.39:
x = 0.39 117
Perform the division:
x = 300
Therefore, the total marks in the examination are 300.
