What will come in place of the question mark (?) in the following questions ?
`9/13 of 221+1 4/9of378=241+?`

Options

A. 450
B. 410
C. 458
D. 350

Answer

To solve the equation \( \frac{9}{13} \times 221 + 1 \frac{4}{9} \times 378 = 241 + ? \), we will follow these steps:

### Step 1: Convert Mixed Number to Improper Fraction
First, convert the mixed number \( 1 \frac{4}{9} \) into an improper fraction:
\[ 1 \frac{4}{9} = \frac{9 \times 1 + 4}{9} = \frac{13}{9} \]

### Step 2: Rewrite the Equation
Now, rewrite the equation using the improper fraction:
\[ \frac{9}{13} \times 221 + \frac{13}{9} \times 378 = 241 + ? \]

### Step 3: Calculate \( \frac{9}{13} \times 221 \)
Calculate \( \frac{9}{13} \times 221 \):
\[ \frac{9 \times 221}{13} = \frac{1989}{13} = 153 \]

### Step 4: Calculate \( \frac{13}{9} \times 378 \)
Now calculate \( \frac{13}{9} \times 378 \):
\[ \frac{13 \times 378}{9} = \frac{4914}{9} = 546 \]

### Step 5: Add the Results
Now add the two results together:
\[ 153 + 546 = 699 \]

### Step 6: Set Up the Final Equation
Now substitute back into the equation:
\[ 699 = 241 + ? \]

### Step 7: Solve for ?
To find \( ? \), subtract 241 from 699:
\[ ? = 699 - 241 = 458 \]

### Conclusion
Thus, the value that comes in place of the question mark (?) is:
\[ \boxed{458} \]