A student scored 80% in Mathematics and 70% in Science. If the total marks in each subject are 200, what is the total percentage of marks obtained?
Practice Questions
1 question
Q1
A student scored 80% in Mathematics and 70% in Science. If the total marks in each subject are 200, what is the total percentage of marks obtained?
75%
76%
77%
78%
Marks in Mathematics = 0.8 * 200 = 160. Marks in Science = 0.7 * 200 = 140. Total marks = 160 + 140 = 300. Total percentage = (300 / 400) * 100 = 75%.
Questions & Step-by-step Solutions
1 item
Q
Q: A student scored 80% in Mathematics and 70% in Science. If the total marks in each subject are 200, what is the total percentage of marks obtained?
Solution: Marks in Mathematics = 0.8 * 200 = 160. Marks in Science = 0.7 * 200 = 140. Total marks = 160 + 140 = 300. Total percentage = (300 / 400) * 100 = 75%.
Steps: 6
Step 1: Understand that the total marks for each subject (Mathematics and Science) is 200.
Step 2: Calculate the marks obtained in Mathematics by multiplying the percentage (80%) by the total marks (200). This is done as follows: 0.8 * 200 = 160.
Step 3: Calculate the marks obtained in Science by multiplying the percentage (70%) by the total marks (200). This is done as follows: 0.7 * 200 = 140.
Step 4: Add the marks obtained in both subjects to find the total marks. This is done as follows: 160 + 140 = 300.
Step 5: Calculate the total possible marks by adding the total marks for both subjects. This is done as follows: 200 + 200 = 400.
Step 6: Calculate the total percentage of marks obtained by dividing the total marks obtained (300) by the total possible marks (400) and then multiplying by 100. This is done as follows: (300 / 400) * 100 = 75%.
