Question : 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% on the test?
Option 1: $35\%$
Option 2: $46 \frac{2}{3}\%$
Option 3: $45 \frac{1}{3}\%$
Option 4: $40\%$
Correct Answer: $46 \frac{2}{3}\%$
Solution :
According to the question,
Correctly answered in first 80 questions = 0.7 × 80 = 56
Remaining questions = 140 − 80 = 60
Target correct answers = 0.6 × 140 = 84
Now,
Remaining correct answers needed = Target correct answers − Correctly answered = 84− 56 = 28
Required percentage $=\frac{\text{28}}{\text{60}} ×100 = 46 \frac{2}{3}\%$
Hence, the correct answer is $46 \frac{2}{3}\%$.
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