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In an examination the average was found to be 50 marks. After deducting computerization error the marks of the 100 candidates has to be changed from 90 to 60 each and the average came down to 45 marks. What is the total number of candidates who took the examination?
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In an examination the average was found to be 50 marks. After deductin...
Calculation of Total Number of Candidates in the Examination
- Let x be the total number of candidates who took the examination.
- The initial average of 50 marks for 100 candidates would result in a total of 100 * 50 = 5000 marks.
- After the correction, the marks for each candidate were changed from 90 to 60. This means that each candidate lost 30 marks due to the computerization error.
- The total loss of marks due to the error for all candidates would be 100 * 30 = 3000 marks.
- The new total marks after the correction would be 100 * 60 = 6000 marks.
- The new average of 45 marks for x candidates would result in a total of 45x marks.

Equation to find the Total Number of Candidates
- From the above information, we can set up the equation:
5000 - 3000 = 6000 - 45x
- Solving the equation:
2000 = 6000 - 45x
45x = 4000
x = 4000 / 45
x = 88.88 (approx.)

Conclusion
- The total number of candidates who took the examination is approximately 89.
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In an examination the average was found to be 50 marks. After deducting computerization error the marks of the 100 candidates has to be changed from 90 to 60 each and the average came down to 45 marks. What is the total number of candidates who took the examination?
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