In an exam. Anu scored `26%`. In the same exam Binni scored `60%` and received. 51 marks more than Anu. What was the total marks in the exam ?

Options

A. None of those given as options
B. 180
C. cannot be determined
D. 150

Answer

To solve the problem, we need to find the total marks in the exam based on the information provided about Anu's and Binni's scores.

Let's denote the total marks of the exam as \( T \).

1. **Calculate Anu's Marks:**
Anu scored 26% of the total marks. Therefore, Anu's marks can be calculated as:
\[ \text{Anu's Marks} = 0.26 \times T \]

2. **Calculate Binni's Marks:**
Binni scored 60% of the total marks. Therefore, Binni's marks can be calculated as:
\[ \text{Binni's Marks} = 0.60 \times T \]

3. **Set up the Equation:**
According to the problem, Binni scored 51 marks more than Anu. This can be expressed as:
\[ \text{Binni's Marks} = \text{Anu's Marks} + 51 \]
Substituting the expressions for Anu's and Binni's marks, we get:
\[ 0.60T = 0.26T + 51 \]

4. **Solve for T:**
Now, we will isolate \( T \) in the equation:
\[ 0.60T - 0.26T = 51 \]
\[ 0.34T = 51 \]
\[ T = \frac{51}{0.34} \]
\[ T = 150 \]

5. **Conclusion:**
The total marks in the exam is \( 150 \).