In an examination, the average of marks was found to be 50. For deducting marks for computational errors, the marks of 100 candidates had to be changed from 90 to 60 each and so the average of marks came down to 45. The total number of candidates, who appeared at the examination, was –
[ A ] 600
[ B ] 300
[ C ] 200
[ D ] 150
Answer : Option A
Explanation :
Initially, average marks = 50
Let the total number of candidates = x
ATQ,
50 × x= 45 × x+ 100 (90 – 60)
50x– 45x= 100 × 30
5x= 3000
x= 600
So, the total number of candidates = 600