A student scores 80% in a test after increasing his score by 20 marks. If the ma

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Question: A student scores 80% in a test after increasing his score by 20 marks. If the maximum score is 100, what was his original score?

Options:

Correct Answer: 70

Solution:

Let the original score be x. Then, x + 20 = 80% of 100 => x + 20 = 80 => x = 80 - 20 = 60.

A student scores 80% in a test after increasing his score by 20 marks. If the maximum score is 100, what was his original score?

A student scores 80% in a test after increasing his score by 20 marks. If the maximum score is 100, what was his original score?

Step 1: Understand that the maximum score of the test is 100.
Step 2: Recognize that scoring 80% means the student scored 80 marks (because 80% of 100 is 80).
Step 3: Let the original score of the student be represented by 'x'.
Step 4: The problem states that the student increased his score by 20 marks, so we can write the equation: x + 20 = 80.
Step 5: To find the original score 'x', we need to solve the equation from Step 4.
Step 6: Subtract 20 from both sides of the equation: x = 80 - 20.
Step 7: Calculate the result: x = 60.
Step 8: Conclude that the original score of the student was 60 marks.

Percentage Calculation – Understanding how to calculate a percentage of a total value, in this case, 80% of the maximum score.
Algebraic Manipulation – Setting up and solving a simple algebraic equation to find the original score.