In a test consisting of 140 questions, a candidate correctly answered 70% of the first 80 questions. What percentage of the remaining questions does the candidate need to correctly answer to score 60% in the test?
Answer & explanation
Correct answer: option 3
Total questions = 140
According to the question
80 × \(\frac{70}{100}\) + 60 × \(\frac{x}{100}\) = 140 × \(\frac{60}{100}\)
56 + \(\frac{3x}{5}\) = 84
\(\frac{3x}{5}\) = 84 – 56 = 28
x = 28 × \(\frac{5}{3}\) = \(\frac{140}{3}\)
= $46\frac{2}{3}$%