A student scored 75% in his first exam and 85% in his second exam. If the first exam was out of 400 marks and the second out of 600 marks, what is his overall percentage?
Practice Questions
1 question
Q1
A student scored 75% in his first exam and 85% in his second exam. If the first exam was out of 400 marks and the second out of 600 marks, what is his overall percentage?
80%
82%
84%
86%
Marks in first exam = 75% of 400 = 300. Marks in second exam = 85% of 600 = 510. Total marks = 300 + 510 = 810. Total maximum marks = 400 + 600 = 1000. Overall percentage = (810/1000) * 100 = 81%.
Questions & Step-by-step Solutions
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Q
Q: A student scored 75% in his first exam and 85% in his second exam. If the first exam was out of 400 marks and the second out of 600 marks, what is his overall percentage?
Solution: Marks in first exam = 75% of 400 = 300. Marks in second exam = 85% of 600 = 510. Total marks = 300 + 510 = 810. Total maximum marks = 400 + 600 = 1000. Overall percentage = (810/1000) * 100 = 81%.
Steps: 8
Step 1: Calculate the marks obtained in the first exam. The student scored 75% in the first exam which is out of 400 marks. So, calculate 75% of 400.
Step 2: To find 75% of 400, multiply 400 by 0.75. This gives you 300 marks.
Step 3: Calculate the marks obtained in the second exam. The student scored 85% in the second exam which is out of 600 marks. So, calculate 85% of 600.
Step 4: To find 85% of 600, multiply 600 by 0.85. This gives you 510 marks.
Step 5: Add the marks obtained in both exams. So, add 300 (from the first exam) and 510 (from the second exam). This gives you a total of 810 marks.
Step 6: Calculate the total maximum marks. The first exam is out of 400 and the second exam is out of 600. So, add 400 and 600 to get a total of 1000 maximum marks.
Step 7: To find the overall percentage, divide the total marks obtained (810) by the total maximum marks (1000) and then multiply by 100.
Step 8: So, (810 / 1000) * 100 = 81%. This is the overall percentage.
