`2/7` of `4/5` of 245=112-?

Options

A. 50
B. 58
C. 54
D. None of these

Answer

To solve the equation \( \frac{2}{7} \) of \( \frac{4}{5} \) of 245 = 112 - ?, we can follow these steps:

### Step 1: Calculate \( \frac{2}{7} \) of \( \frac{4}{5} \) of 245
First, we need to calculate \( \frac{4}{5} \) of 245.

\[ \frac{4}{5} \times 245 = \frac{4 \times 245}{5} \]

### Step 2: Simplify \( \frac{4 \times 245}{5} \)
Now, we can simplify \( \frac{4 \times 245}{5} \).

Calculating \( 4 \times 245 \):

\[ 4 \times 245 = 980 \]

Now divide by 5:

\[ \frac{980}{5} = 196 \]

### Step 3: Calculate \( \frac{2}{7} \) of 196
Next, we calculate \( \frac{2}{7} \) of 196.

\[ \frac{2}{7} \times 196 = \frac{2 \times 196}{7} \]

### Step 4: Simplify \( \frac{2 \times 196}{7} \)
Calculating \( 2 \times 196 \):

\[ 2 \times 196 = 392 \]

Now divide by 7:

\[ \frac{392}{7} = 56 \]

### Step 5: Set up the equation
Now we have:

\[ 56 = 112 - x \]

### Step 6: Solve for \( x \)
To find \( x \), we rearrange the equation:

\[ x = 112 - 56 \]

Calculating this gives:

\[ x = 56 \]

### Step 7: Identify the answer
Now we check the options provided: 50, 58, 54, and none of these. Since our calculated value of \( x \) is 56, which is not among the options, the correct answer is "none of these."