In an examination, Ram obtained 20 % more than Ashok but 10% less than Rajesh. If the marks obtained by Ashok is 1080. Then the Percentage marks obtained by Rajesh if the full marks is 2000 ;
72%
Understanding the Exam Marks Problem
The question asks us to find the percentage marks obtained by Rajesh in an examination, given the marks of Ashok and the relative performance of Ram compared to both Ashok and Rajesh. The total marks for the examination are also provided.
Analyzing the Given Information
- Ashok's marks = 1080
- Ram obtained 20% more marks than Ashok.
- Ram obtained 10% less marks than Rajesh.
- Full marks of the examination = 2000
- We need to find the percentage marks obtained by Rajesh.
Step-by-Step Calculation of Marks
1. Calculate Ram's Marks
Ram obtained 20% more than Ashok. First, let's find 20% of Ashok's marks.
\(\text{20% of Ashok's marks} = \frac{20}{100} \times 1080\)
\(= \frac{1}{5} \times 1080\)
\(= 216\)
Ram's marks are Ashok's marks plus 20% of Ashok's marks.
\(\text{Ram's marks} = 1080 + 216\)
\(= 1296\)
So, Ram obtained 1296 marks.
2. Calculate Rajesh's Marks
Ram obtained 10% less than Rajesh. This means Ram's marks are 90% of Rajesh's marks (100% - 10% = 90%).
Let Rajesh's marks be \(R\).
\(\text{Ram's marks} = 90\% \text{ of } R\)
\(1296 = \frac{90}{100} \times R\)
\(1296 = \frac{9}{10} \times R\)
To find \(R\), we can rearrange the equation:
\(R = 1296 \times \frac{10}{9}\)
\(R = \frac{12960}{9}\)
\(R = 1440\)
So, Rajesh obtained 1440 marks.
3. Calculate Percentage Marks for Rajesh
The full marks for the examination are 2000. To find the percentage marks obtained by Rajesh, we use the formula:
\(\text{Percentage} = \frac{\text{Marks Obtained}}{\text{Full Marks}} \times 100\)
\(\text{Rajesh's Percentage Marks} = \frac{1440}{2000} \times 100\)
\(= \frac{1440}{20}\)
\(= 72\)
So, Rajesh obtained 72% marks.
Summary of Marks
| Student | Marks Obtained |
|---|---|
| Ashok | 1080 |
| Ram | 1296 |
| Rajesh | 1440 |
Rajesh obtained 1440 marks out of a total of 2000 marks, which is 72%.
Conclusion
Based on the calculations, the percentage marks obtained by Rajesh is 72%.
Important Questions from Percentage
In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination?
What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600?
Population of a village is 7960 in which 4660 are female. If in that village 60% are literate in which 70% female are literate, then what is the number of literate male ?
The numbers of students of three classes of a school are in the ratio 4 : 5 : 6. If numbers of students in these classes increase by 25%, 20% and 25% respectively, then ratio of numbers of students will become:
A student appeared in 6 papers. The maximum marks are the same for each paper. His marks in these papers are in the proportion of 5 : 6 : 7 : 8 : 9 : 10. Overall he scored 60%. In how many number of papers did he score less than 60% of the maximum marks?
