A scored 72% in a paper with a maximum marks of 900 and 80% In another paper with a maximum marks of 700. If the result is based on the combined percent age of two papers, the combined percentage is

Options

A. 0.755
B. 0.76
C. 0.765
D. 0.77

Answer

To find the combined percentage of A's scores in two papers, we will follow these steps:

### Step 1: Calculate the obtained marks in the first paper.
A scored 72% in a paper with a maximum of 900 marks.

\[ \text{Obtained Marks in Paper 1} = \frac{72}{100} \times 900 \]

Calculating this:

\[ \text{Obtained Marks in Paper 1} = 0.72 \times 900 = 648 \]

### Step 2: Calculate the obtained marks in the second paper.
A scored 80% in another paper with a maximum of 700 marks.

\[ \text{Obtained Marks in Paper 2} = \frac{80}{100} \times 700 \]

Calculating this:

\[ \text{Obtained Marks in Paper 2} = 0.80 \times 700 = 560 \]

### Step 3: Calculate the total obtained marks.
Now, we will add the obtained marks from both papers.

\[ \text{Total Obtained Marks} = \text{Obtained Marks in Paper 1} + \text{Obtained Marks in Paper 2} \]

Calculating this:

\[ \text{Total Obtained Marks} = 648 + 560 = 1208 \]

### Step 4: Calculate the total maximum marks.
Next, we will add the maximum marks from both papers.

\[ \text{Total Maximum Marks} = 900 + 700 = 1600 \]

### Step 5: Calculate the combined percentage.
Now, we can find the combined percentage using the formula:

\[ \text{Combined Percentage} = \left( \frac{\text{Total Obtained Marks}}{\text{Total Maximum Marks}} \right) \times 100 \]

Calculating this:

\[ \text{Combined Percentage} = \left( \frac{1208}{1600} \right) \times 100 \]

This simplifies to:

\[ \text{Combined Percentage} = 0.755 \times 100 = 75.5\% \]

### Final Answer:
The combined percentage is **75.5%**.

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