What per cent of 2 kg is 125 g ?

Answer

To solve the question "What per cent of 2 kg is 125 g?", we will follow these steps:

### Step 1: Convert kilograms to grams
We know that:
1 kg = 1000 g
So, for 2 kg:
\[ 2 \text{ kg} = 2 \times 1000 \text{ g} = 2000 \text{ g} \]

### Step 2: Set up the percentage formula
The formula to find the percentage is:
\[ \text{Percentage} = \left( \frac{\text{Given Value}}{\text{Total Value}} \right) \times 100 \]
In this case, the given value is 125 g and the total value is 2000 g.

### Step 3: Substitute the values into the formula
Now we substitute the values into the formula:
\[ \text{Percentage} = \left( \frac{125 \text{ g}}{2000 \text{ g}} \right) \times 100 \]

### Step 4: Simplify the fraction
We can simplify the fraction:
\[ \frac{125}{2000} = \frac{125 \div 125}{2000 \div 125} = \frac{1}{16} \]

### Step 5: Calculate the percentage
Now we calculate the percentage:
\[ \text{Percentage} = \left( \frac{1}{16} \right) \times 100 = \frac{100}{16} = 6.25 \]

### Step 6: Convert to fraction
6.25 can be expressed as a mixed number:
\[ 6.25 = 6 \frac{1}{4} \]

### Final Answer
Thus, 125 g is \( 6 \frac{1}{4} \% \) of 2 kg.

---