What value will come in place of the question mark (?) in each of the following questions ?
`21%of?+16%of3400=1286-427`

Options

A. 1500
B. 150
C. 1400
D. 1600

Answer

To solve the equation \( 21\% \text{ of } ? + 16\% \text{ of } 3400 = 1286 - 427 \), we will follow these steps:

### Step 1: Simplify the right side of the equation
First, we need to calculate \( 1286 - 427 \).

\[ 1286 - 427 = 859 \]

### Step 2: Write the equation with the simplified right side
Now, we can rewrite the equation as:

\[ 21\% \text{ of } ? + 16\% \text{ of } 3400 = 859 \]

### Step 3: Calculate \( 16\% \text{ of } 3400 \)
Next, we need to calculate \( 16\% \text{ of } 3400 \):

\[ 16\% \text{ of } 3400 = \frac{16}{100} \times 3400 = 0.16 \times 3400 = 544 \]

### Step 4: Substitute back into the equation
Now we substitute \( 544 \) back into the equation:

\[ 21\% \text{ of } ? + 544 = 859 \]

### Step 5: Isolate \( 21\% \text{ of } ? \)
Next, we isolate \( 21\% \text{ of } ? \) by subtracting \( 544 \) from both sides:

\[ 21\% \text{ of } ? = 859 - 544 \]

Calculating the right side gives:

\[ 859 - 544 = 315 \]

### Step 6: Solve for \( ? \)
Now we have:

\[ 21\% \text{ of } ? = 315 \]

To find \( ? \), we can express it as:

\[ ? = \frac{315}{21\%} = \frac{315}{\frac{21}{100}} = 315 \times \frac{100}{21} \]

Calculating this gives:

\[ ? = 315 \times \frac{100}{21} = \frac{31500}{21} = 1500 \]

### Final Result
Thus, the value that will come in place of the question mark (?) is:

\[ \boxed{1500} \]