If someone has got 150 out of 200 marks in term 1 exam and 160 out of 200 marks in term 2 exam then what is the percentage in 30:70

To calculate the overall percentage based on the marks obtained in two terms with a weightage of 30% for Term 1 and 70% for Term 2, we need to follow a few straightforward steps. Let's break it down together.

Step-by-Step Calculation

First, we need to determine the weighted scores for each term based on their respective weightage. Here’s how we can do that:

1. Calculate the percentage for each term

• For Term 1: The student scored 150 out of 200 marks.
• To find the percentage: (Score / Total Marks) × 100
• So, for Term 1: (150 / 200) × 100 = 75%

• For Term 2: The student scored 160 out of 200 marks.
• Using the same formula: (160 / 200) × 100
• Thus, for Term 2: (160 / 200) × 100 = 80%

2. Apply the weightage to each term's percentage

Next, we apply the weightage to these percentages:

• Term 1 contributes 30%: 75% × 0.30 = 22.5%
• Term 2 contributes 70%: 80% × 0.70 = 56%

3. Combine the weighted scores

Now, we add the weighted contributions from both terms to find the overall percentage:

• Overall Percentage = Contribution from Term 1 + Contribution from Term 2
• Overall Percentage = 22.5% + 56% = 78.5%

Final Result

The overall percentage, considering the weightage of 30:70 for the two terms, is 78.5%. This means that the student performed quite well across both terms, with a solid average when factoring in the different weights of each term's score.

Understanding how to calculate weighted averages is a valuable skill, especially in academic settings where different assessments may carry different levels of importance. If you have any more questions about this or related topics, feel free to ask!