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?

$46\frac{2}{3}$%

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 × \(\frac{5}{3}\) = \(\frac{140}{3}\)

= $46\frac{2}{3}$%