In a contest, a participant secured 30 percent but failed to proceed to the next round by 30 points. Another candidate securing 30 points more than the qualifying marks secured 45 percent. What is the qualifying point in the contest?

Correct option is D

Given:
By securing 30% marks, the candidate failed by = 30 marks
By securing 45% marks, the candidate got = 30 points more
Solution:
Let the total marks scored be x.
Marks secured by first candidate = 30% × x
Marks secured by second candidate = 45% × x
Equating qualifying marks for both cases:
​$$\frac{30x}{100} + 30 = \frac{45x}{100} - 30 \\\ \\60 = \frac{15x}{100} \\\ \\x = 400$$​​
Total marks = 400
Qualifying marks = $$\frac{30x}{100}$$​ + 30 = 150 marks