The marks obtained in 4 subjects in an examination are 200. If the average of marks obtained in 3 subjects is 48, then how many marks are obtained in fourth subject ?

Question

Accepted Answer

To determine the marks obtained in the fourth subject, we need to use the information provided in the question.

1. **Understanding the Problem:**
   - The total marks obtained in 4 subjects is 200.
   - The average marks obtained in 3 subjects is 48.

2. **Calculating the Total Marks for 3 Subjects:**
   - If the average marks for 3 subjects is 48, then the total marks for these 3 subjects can be calculated as:
     $$
     \text{Total marks for 3 subjects} = \text{Average} \times \text{Number of subjects} = 48 \times 3 = 144
     $$

3. **Finding the Marks for the Fourth Subject:**
   - The total marks for all 4 subjects is given as 200.
   - Therefore, the marks obtained in the fourth subject can be calculated by subtracting the total marks of the first 3 subjects from the total marks of all 4 subjects:
     $$
     \text{Marks in fourth subject} = \text{Total marks for 4 subjects} - \text{Total marks for 3 subjects} = 200 - 144 = 56
     $$

4. **Justification for Option 4:**
   - The calculation shows that the marks obtained in the fourth subject is 56, which matches Option 4. Therefore, Option 4 is the correct answer.

5. **Explanation for Why Other Options are Incorrect:**
   - **Option 1 (50):** If the fourth subject had 50 marks, the total would be $144 + 50 = 194$, which does not match the given total of 200.
   - **Option 2 (144):** If the fourth subject had 144 marks, the total would be $144 + 144 = 288$, which exceeds the given total of 200.
   - **Option 3 (152):** If the fourth subject had 152 marks, the total would be $144 + 152 = 296$, which also exceeds the given total of 200.

In conclusion, the correct answer is Option 4, as it is the only option that satisfies the conditions given in the problem.