In the following questions, each question has four options (A), (B), (C) and (D). Choose the correct option and indicate your correct response.
If the digits 7 and 6 exchange their place in the number 96750, then what will be difference between original and new number?

Options

A. 1050
B. 1100
C. 1000
D. 900

Answer

To solve the problem of finding the difference between the original number 96750 and the new number formed by exchanging the digits 7 and 6, we will follow these steps:

### Step 1: Identify the Original Number
The original number is given as 96750.

### Step 2: Exchange the Digits
We need to exchange the digits 7 and 6 in the original number.
- The original number is 96750.
- After exchanging 7 and 6, the new number becomes 97650.

### Step 3: Calculate the Difference
Now, we will calculate the difference between the original number (96750) and the new number (97650).
- Difference = New Number - Original Number
- Difference = 97650 - 96750

### Step 4: Perform the Subtraction
Now, we will perform the subtraction:
```
97650
- 96750
--------
```
Starting from the rightmost digit:
- 0 - 0 = 0
- 5 - 5 = 0
- 6 - 7 = We cannot subtract, so we borrow 1 from the next digit:
- This makes it 16 - 7 = 9
- 7 - 6 = 1
- 9 - 9 = 0

Thus, the result of the subtraction is:
```
97650
- 96750
--------
900
```

### Step 5: Final Answer
The difference between the original and the new number is 900.