In a test, A scored 10% more than Band B scored 5% more then C.If C scored 300 marks out of 400,then A's marks are

Options

A. 310
B. 325
C. 350
D. 360

Answer

To solve the problem step by step, we will first find out how much B scored based on C's score, and then calculate A's score based on B's score.

### Step 1: Calculate B's score
Given that C scored 300 marks, and B scored 5% more than C.

To find B's score:
1. Calculate 5% of C's score.
\[ 5\% \text{ of } 300 = \frac{5}{100} \times 300 = 15 \]
2. Add this amount to C's score to find B's score.
\[ B's \text{ score} = C's \text{ score} + 5\% \text{ of } C's \text{ score} = 300 + 15 = 315 \]

### Step 2: Calculate A's score
Now that we have B's score, we can find A's score. A scored 10% more than B.

To find A's score:
1. Calculate 10% of B's score.
\[ 10\% \text{ of } 315 = \frac{10}{100} \times 315 = 31.5 \]
2. Add this amount to B's score to find A's score.
\[ A's \text{ score} = B's \text{ score} + 10\% \text{ of } B's \text{ score} = 315 + 31.5 = 346.5 \]

### Final Answer
Thus, A's marks are **346.5**.

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