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Option 2 : 70
Given:
Initial ratio = 5 : 2
Final hypothetical ratio after considering 14 more students failed = 4 : 3
Concept used:
Ratio Proportion
Calculation:
Let the common ratio be Q.
Hence, Number of students who passed and failed are 5Q and 2Q respective.
According to the question,
(5Q - 14) : (2Q + 14) = 4 : 3
⇒ 15Q - 42 = 8Q + 56
⇒ Q = 14
⇒ 5Q = 70
∴ 70 students passed in the examination.
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