To qualify an examination of 200 marks, a candidate should obtain 40% marks. If A scores 10% more than the passing marks, then what is the marks obtained by A?

Options

A. 80
B. 78
C. 88
D. 68

Answer

To solve the problem step by step, we will first determine the passing marks required to qualify for the examination and then calculate the marks obtained by candidate A.

### Step 1: Calculate the passing marks
The total marks for the examination are 200. To qualify, a candidate must obtain 40% of the total marks.

\[ \text{Passing Marks} = 40\% \text{ of } 200 \]

Calculating this:

\[ \text{Passing Marks} = \frac{40}{100} \times 200 = 80 \]

### Step 2: Calculate the marks obtained by A
According to the problem, candidate A scores 10% more than the passing marks. We first need to find out what 10% of the passing marks is.

\[ 10\% \text{ of Passing Marks} = 10\% \text{ of } 80 \]

Calculating this:

\[ 10\% \text{ of Passing Marks} = \frac{10}{100} \times 80 = 8 \]

Now, we add this to the passing marks to find the total marks obtained by A.

\[ \text{Marks obtained by A} = \text{Passing Marks} + 10\% \text{ of Passing Marks} \]
\[ \text{Marks obtained by A} = 80 + 8 = 88 \]

### Final Answer
The marks obtained by A is **88**.

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