In a far land of Lootokhao, an empowered group of ministers was supposed to allocate some coal blocks and 2G spectrums to the aspiring private companies. However, these ministers colluded for their personal gains by allocating the blocks and spectrums to a lobbying corporate coterie and that too after charging the bribe. The bribe fetched by each minister for allocating each block was `₹300 million` for each spectrum it was `₹500 million : Each minister allocated the same number of coal blocks and the same number of 2G spectrums. The total bribe they received in this process was ₹13.3 billion . How many coal blocks did each minister allocate to this corporate coterie by charging the bribe?

Options

A. A. 1
B. B. 2
C. C. 3
D. can't be determined

Answer

To solve the problem, we need to set up an equation based on the information provided. Let's break it down step by step.

### Step 1: Define Variables
Let:
- \( n \) = number of coal blocks allocated by each minister
- \( m \) = number of 2G spectrums allocated by each minister
- \( p \) = number of ministers

### Step 2: Write the Bribe Equation
According to the problem:
- Each coal block brings in a bribe of ₹300 million.
- Each 2G spectrum brings in a bribe of ₹500 million.
- The total bribe received by all ministers is ₹13.3 billion (which is ₹13,300 million).

The total bribe can be expressed as:
\[ \text{Total Bribe} = p \times (300n + 500m) \]
Since each minister allocates the same number of coal blocks and spectrums, we can set \( n = m \). Therefore, we can rewrite the equation as:
\[ \text{Total Bribe} = p \times (300n + 500n) = p \times 800n \]

### Step 3: Set Up the Equation
Now we can set up the equation based on the total bribe:
\[ p \times 800n = 13,300 \]

### Step 4: Solve for \( n \)
Rearranging the equation gives us:
\[ n = \frac{13,300}{800p} \]

### Step 5: Analyze the Equation
To find the number of coal blocks \( n \) allocated by each minister, we need to know the value of \( p \) (the number of ministers). However, since the number of ministers is not provided in the problem, we cannot determine a specific value for \( n \).

### Conclusion
Since we do not have sufficient information about the number of ministers, we cannot determine how many coal blocks each minister allocated. Therefore, the answer is that it cannot be determined.