Marks of two candidates P and Q are in the ratio of `2 : 5`. If the marks of P is 120, marks of Q will be:

Options

A. 120
B. 240
C. 300
D. 360

Answer

To solve the problem, we need to find the marks of candidate Q given that the marks of candidates P and Q are in the ratio of 2:5, and that candidate P has scored 120 marks.

### Step-by-Step Solution:

1. **Understand the Ratio**: The ratio of marks of P to Q is given as 2:5. This means for every 2 parts of marks that P has, Q has 5 parts.

2. **Assign Variables**: Let the marks of P be represented as \(2x\) and the marks of Q as \(5x\), where \(x\) is a common multiplier.

3. **Set Up the Equation**: We know from the problem that the marks of P are 120. Therefore, we can set up the equation:
\[ 2x = 120 \]

4. **Solve for x**: To find the value of \(x\), divide both sides of the equation by 2:
\[ x = \frac{120}{2} = 60 \]

5. **Calculate Marks of Q**: Now that we have the value of \(x\), we can find the marks of Q using the expression \(5x\):
\[ \text{Marks of Q} = 5x = 5 \times 60 = 300 \]

6. **Conclusion**: Therefore, the marks of candidate Q are 300.

### Final Answer:
The marks of candidate Q will be **300**.

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