Question Details

Girish scored 664 marks in an examination and was 8 marks short of 84% of the maximum marks. In the same examination, his friend scored 472 marks. What is the percentage of marks scored by his friend?

Options

A

59%

B

61%

C

56%

D

58%

Show Answer

Correct Answer :

Option A

59%

Solution :

The correct option is 59%.

Let the maximum marks for the examination be M.

According to the question, Girish scored 664 marks, which was 8 marks short of 84% of the maximum marks.

We can write this as an equation:

84% of M-8=664

84100×M=664+8

84100×M=672

Solving for M:

M=672×10084

M=8×100=800

So, the maximum marks of the examination are 800.

Now, his friend scored 472 marks in the same examination.
To find the percentage of marks scored by his friend, we use the formula:

Percentage=Marks ScoredMaximum Marks×100

Percentage=472800×100

Percentage=4728=59%

Thus, the percentage of marks scored by his friend is 59%.

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