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Question

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?

The correct answer is
22%

Marks: Find Maximum Examination Marks

Let the maximum marks for the examination be denoted by M.

Girish scored 572 marks.

This score was 30 marks less than 28% of the maximum marks.

This means that 28% of the maximum marks is equal to Girish's score plus the deficit:

$ 0.28 \times M = 572 + 30 $

$ 0.28 \times M = 602 $

To find the maximum marks M, we rearrange the equation:

$ M = \frac{602}{0.28} $

$ M = \frac{60200}{28} $

$ M = 2150 $

So, the maximum marks for the examination were 2150.

Percentage: Calculate Friend's Score Percentage

Girish's friend scored 473 marks.

The maximum marks are 2150.

To find the percentage of marks scored by the friend, we use the formula:

$ \text{Percentage} = \left( \frac{\text{Score Obtained}}{\text{Maximum Marks}} \right) \times 100 $

Substituting the values:

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

$ \text{Friend's Percentage} = \frac{47300}{2150} $

$ \text{Friend's Percentage} = \frac{4730}{215} $

$ \text{Friend's Percentage} = 22\% $

Therefore, the friend scored 22% of the maximum marks.

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Important Questions from Percentage (Notes)

  1. In an election between two candidates, a candidate who got $30\%$ of the total votes is defeated by $15000$ votes. The number of votes obtained by the winning candidate is:-

  2. Which of the following multipliers will increase a given number by 25.3 % ?
  3. If A earns \(33\frac{1}{3}%\) more than B, then how much percent does B earn less than A?

  4. दो उम्मीदवारों के बीच एक कॉलेज चुनाव में, एक उम्मीदवार को कुल वैध मतों में से $55\%$ वोट मिले । $15\%$ वोट अवैध थे । यदि कुल वोट $15,200$ थे, तो दूसरे उम्मीदवार को कितने वैध वोट मिले ?
  5. एक शहर की जनसंख्या एक दशक में $1,75,000$ से बढ़कर $2,62,500$ हो गई । प्रति वर्ष जनसंख्या में औसत प्रतिशत वृद्धि है
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