At least which number must be substracted from 9999999 so that it will become the multiple of 125 ?

Options

A. 124
B. 4
C. 24
D. None of these

Answer

To solve the problem of finding the least number that must be subtracted from 9999999 so that it becomes a multiple of 125, we can follow these steps:

### Step 1: Determine the remainder when 9999999 is divided by 125.
To find out how far 9999999 is from being a multiple of 125, we first calculate the remainder:

\[ 9999999 \div 125 = 79999.992 \]

Now, we multiply the integer part of the quotient by 125 to find the largest multiple of 125 less than or equal to 9999999:

\[ 79999 \times 125 = 9999875 \]

### Step 2: Calculate the remainder.
Now, we subtract this multiple from 9999999 to find the remainder:

\[ 9999999 - 9999875 = 124 \]

### Step 3: Determine the number to subtract.
Since the remainder is 124, this means that if we subtract 124 from 9999999, we will reach the nearest multiple of 125:

\[ 9999999 - 124 = 9999875 \]

### Conclusion:
Thus, the least number that must be subtracted from 9999999 to make it a multiple of 125 is **124**.

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