In an examination 60% students in Mathematics and 65% students in Science were passed. While 30% students in both the subjects were failed. If total 900 students appeared in the examination, then the total number of passed students is

Correct option is D

Given:
Passed in Mathematics = 60%
Passed in Science = 65%
Failed in both subjects = 30%
Total students = 900
Formula Used:
​$$n(A \cup B) = n(A) + n(B) - n(A \cap B)$$​​
Percentage of students passed in at least one subject = 100 - Percentage of students failed in both.
Solution:
First, find the percentage of students who passed in at least one subject.
Percentage passed in at least one = 100 - 30 = 70%
Let the percentage of students who passed in both subjects be x.
70 = 60 + 65 - x
70 = 125 - x
x = 55%
The percentage of students who passed in both subjects is 55%.
Total number of passed students =  $$\frac{55}{100}$$​ × 900
Total number of passed students = 55 × 9 = 495
Final Answer
So the correct answer is (d)