Question

In an examination, Raman scored 25 marks less than Rohit. Rohit scored 45 more marks than Sonia. Rohan scored 75 marks which is 10 more than Sonia. Ravi's score is 50 less than, maximum marks of the test. What approximate percentage of marks did Ravi score in the examination, if he gets 34 marks more than Raman ?

• A. 90
• B. 70
• C. 80
• D. 60

Answer 1

The Correct Option is B

Let's solve the problem step-by-step.

Step 1: Understand the relationships between scores

• Raman scored 25 marks less than Rohit.
• Rohit scored 45 more marks than Sonia.
• Rohan scored 75 marks, which is 10 more than Sonia, so Sonia scored \(75 - 10 = 65\) marks.

Step 2: Calculate scores for each person

• Sonia's score: 65 marks (calculated from Rohan's score).
• Rohit's score: \(65 + 45 = 110\) marks.
• Raman's score: \(110 - 25 = 85\) marks.
• Ravi's score is 34 marks more than Raman, so \(85 + 34 = 119\) marks.

Step 3: Find the maximum marks for the test

• Ravi's score is 50 less than the maximum marks.
• If Ravi scored 119, maximum marks = \(119 + 50 = 169\).

Step 4: Calculate the percentage of marks Ravi scored

• Percentage = \(\frac{\text{Ravi's score}}{\text{Maximum marks}} \times 100\)
• Percentage = \(\frac{119}{169} \times 100 \approx 70.41\%\)

Thus, Ravi scored approximately 70% of the total marks, making 70 the correct answer.