In a test Chitra secured 58.5 marks that was also equivalent to obtaining 78% marks. How many marks was the test out of ?

Options

A. 85
B. 65
C. 80
D. 75

Answer

To solve the problem, we need to find the total marks of the test based on Chitra's score and the percentage of marks she obtained.

### Step-by-Step Solution:

1. **Understand the Problem**:
Chitra scored 58.5 marks, which is equivalent to 78% of the total marks. We need to find out what the total marks (let's denote it as X) are.

2. **Set Up the Equation**:
Since 78% of the total marks equals Chitra's score, we can write the equation as:
\[ 78\% \text{ of } X = 58.5 \]
This can be expressed mathematically as:
\[ \frac{78}{100} \times X = 58.5 \]

3. **Rearrange the Equation**:
To isolate X, we can rearrange the equation:
\[ X = \frac{58.5 \times 100}{78} \]

4. **Calculate the Value**:
Now, we will perform the calculation:
\[ X = \frac{58.5 \times 100}{78} = \frac{5850}{78} \]

5. **Perform the Division**:
Now, we divide 5850 by 78:
\[ X = 75 \]

6. **Conclusion**:
Therefore, the total marks of the test is:
\[ \text{Total Marks} = 75 \]

### Final Answer:
The test was out of **75 marks**.