The average of marks obtained by Sunil in History and Mathematics is `60%`. If he got 90 marks out of 150 in Mathematics, how much did he get in History out of 100 ?

Options

A. 10
B. 60
C. 80
D. 40

Answer

To find out how much Sunil scored in History, we can follow these steps:

### Step 1: Understand the average percentage
The average percentage of marks obtained by Sunil in History and Mathematics is given as 60%.

### Step 2: Calculate total maximum marks
The maximum marks for Mathematics is 150 and for History, it is 100. Therefore, the total maximum marks for both subjects combined is:
\[ \text{Total Maximum Marks} = 150 + 100 = 250 \]

### Step 3: Calculate total obtained marks using average
Since the average percentage is 60%, we can find the total obtained marks using the formula:
\[ \text{Total Obtained Marks} = \left(\frac{\text{Average Percentage}}{100}\right) \times \text{Total Maximum Marks} \]
Substituting the values:
\[ \text{Total Obtained Marks} = \left(\frac{60}{100}\right) \times 250 = 150 \]

### Step 4: Find out the marks obtained in Mathematics
Sunil scored 90 marks in Mathematics.

### Step 5: Calculate marks obtained in History
To find the marks obtained in History, we subtract the marks obtained in Mathematics from the total obtained marks:
\[ \text{Marks in History} = \text{Total Obtained Marks} - \text{Marks in Mathematics} \]
Substituting the values:
\[ \text{Marks in History} = 150 - 90 = 60 \]

### Conclusion
Sunil scored **60 marks** in History out of 100.

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