Raman scored 456 marks in an exam and Sita got 54 percent marks in the...
Given information:
- Raman scored 456 marks in the exam.
- Sita got 54 percent marks in the exam, which is 24 marks less than Raman.
To find:
- How much more marks did Raman score more than the minimum passing marks?
Solution:
1. Let's first find out the marks obtained by Sita in the exam.
- We know that Sita got 54 percent marks, which is 24 marks less than Raman.
- So, Sita's marks can be calculated as follows:
Sita's marks = Raman's marks - 24
Sita's marks = 456 - 24
Sita's marks = 432
2. Now, let's find out the minimum passing marks in the exam.
- We know that the passing marks are 34 percent of the total marks.
- So, the minimum passing marks can be calculated as follows:
Minimum passing marks = (34/100) * Total marks
3. Now, let's find out how much more marks Raman scored than the minimum passing marks.
- We know that Raman scored 456 marks in the exam.
- So, the difference can be calculated as follows:
Difference = Raman's marks - Minimum passing marks
Difference = 456 - (34/100) * Total marks
4. To find the value of Total marks, we need to use the information that Sita's marks are 24 less than Raman's marks.
- We know that Sita's marks = 432
- So, Sita's marks can be calculated as follows:
Sita's marks = (34/100) * Total marks - 24
5. Now, let's solve the equation to find the value of Total marks:
(34/100) * Total marks - 24 = 432
(34/100) * Total marks = 432 + 24
(34/100) * Total marks = 456
Total marks = (456 * 100) / 34
Total marks = 1341.18 (approx.)
6. Now, let's substitute the value of Total marks in the difference equation to find the difference in marks:
Difference = 456 - (34/100) * 1341.18
Difference = 456 - 456
Difference = 0
7. The difference in marks is 0, which means Raman scored the same marks as the minimum passing marks.
Therefore, Raman scored the same marks as the minimum passing marks and did not score more. Hence, the correct answer is option 'e' None of these.