Y has to score 40% marks to pass. He gets 20 marks and fails by 40 marks. The maximum marks of the exam are?

Options

A. a. 100
B. b. 200
C. c. 150
D. d. 250

Answer

To solve the problem step by step, we need to determine the maximum marks of the exam based on the information provided.

### Step 1: Understand the Problem
Y needs to score 40% of the maximum marks to pass. He scored 20 marks and failed by 40 marks. This means that the passing marks are 40 marks more than what Y scored.

### Step 2: Calculate the Passing Marks
Since Y scored 20 marks and failed by 40 marks, we can find the passing marks as follows:
\[ \text{Passing Marks} = \text{Marks Scored} + \text{Marks Failed By} = 20 + 40 = 60 \]

### Step 3: Set Up the Equation
Let the maximum marks of the exam be \( x \). According to the problem, Y needs to score 40% of \( x \) to pass. Therefore, we can set up the equation:
\[ 0.4x = 60 \]

### Step 4: Solve for \( x \)
To find \( x \), we will rearrange the equation:
\[ x = \frac{60}{0.4} \]
Calculating the right side:
\[ x = \frac{60}{0.4} = 60 \times \frac{10}{4} = 60 \times 2.5 = 150 \]

### Step 5: Conclusion
Thus, the maximum marks of the exam are \( 150 \).

### Final Answer
The maximum marks of the exam are **150**.

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