In a test consisting of 80 questions, a student answered `75%` of the first 60 questions correctly. The percentage of the other questions she needs to answer correctly so that her score on the entire examination be 80% is :

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the number of questions answered correctly from the first 60 questions.
The student answered 75% of the first 60 questions correctly.

\[ \text{Correct answers from first 60 questions} = 75\% \text{ of } 60 = \frac{75}{100} \times 60 = 45 \]

### Step 2: Determine the total number of questions in the test.
The total number of questions in the test is given as 80.

### Step 3: Calculate the total number of correct answers needed for an 80% score.
To achieve an overall score of 80%, the student needs to answer 80% of the total 80 questions correctly.

\[ \text{Total correct answers needed} = 80\% \text{ of } 80 = \frac{80}{100} \times 80 = 64 \]

### Step 4: Find out how many more correct answers are needed from the remaining questions.
The student has already answered 45 questions correctly from the first 60 questions. Therefore, the number of additional correct answers needed from the remaining 20 questions is:

\[ \text{Additional correct answers needed} = 64 - 45 = 19 \]

### Step 5: Calculate the percentage of the remaining 20 questions that need to be answered correctly.
The remaining questions are 20, and the student needs to answer 19 of them correctly.

\[ \text{Percentage of remaining questions needed to be correct} = \left( \frac{19}{20} \right) \times 100 = 95\% \]

### Conclusion
The student needs to answer **95%** of the remaining 20 questions correctly to achieve an overall score of 80% on the test.

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