Girish scored 572 marks in an examination and was 30 marks short of 28% of maximum marks. In the same examination, his friend scored 473 marks. What is the percentage of marks scored by his friend?

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Correct Answer: 22%

Step-by-Step Explanation:

Step 1: Find 28% of the maximum marks.
According to the problem statement, Girish scored 572 marks, which was 30 marks short of 28% of the maximum marks.
Therefore, 28% of the maximum marks can be calculated as:

$\text{28\% of Maximum Marks}=572+30=602$

Step 2: Calculate the maximum marks.
Let the maximum marks be represented by M.
Using the percentage formula:

$\frac{28}{100}\times M=602$

Solving for M:

$M=\frac{602\times 100}{28}$

$M=2150$

So, the total maximum marks for the examination is 2150.

Step 3: Calculate the percentage scored by his friend.
Girish's friend scored 473 marks out of 2150.
To find the percentage scored by his friend:

$\text{Percentage}=\left(\frac{473}{2150}\right)\times 100$

$\text{Percentage}=\frac{47300}{2150}=22\%$

Thus, the percentage of marks scored by his friend is 22%.