If `3/4` of an estate is worth Rs. 90,000 then the value of `2/3` of the same will be

Options

A. Rs. 60,000
B. Rs. 65,000
C. Rs. 70,000
D. Rs. 80,000

Answer

To solve the problem step by step, we start with the information given:

1. **Understanding the Problem**: We know that \( \frac{3}{4} \) of an estate is worth Rs. 90,000. We need to find the value of \( \frac{2}{3} \) of the same estate.

2. **Setting Up the Equation**: Let the total value of the estate be \( x \). According to the problem, we can write the equation:
\[ \frac{3}{4} x = 90,000 \]

3. **Solving for \( x \)**: To find \( x \), we can rearrange the equation:
\[ x = 90,000 \times \frac{4}{3} \]
Now, calculate \( \frac{4}{3} \) of 90,000:
\[ x = 90,000 \times \frac{4}{3} = 90,000 \times 1.3333 \approx 120,000 \]
Therefore, the total value of the estate \( x \) is Rs. 120,000.

4. **Finding \( \frac{2}{3} \) of the Estate**: Now we need to find \( \frac{2}{3} \) of the total estate value:
\[ \frac{2}{3} x = \frac{2}{3} \times 120,000 \]
To calculate this, we can simplify:
\[ \frac{2}{3} \times 120,000 = 80,000 \]

5. **Final Answer**: The value of \( \frac{2}{3} \) of the estate is Rs. 80,000.

### Summary of Steps:
1. Set up the equation based on the information given.
2. Solve for the total value of the estate.
3. Calculate \( \frac{2}{3} \) of the total estate value.