65g is what per cent of 2 kg ?

Options

A. `(13)/(4)`
B. `(65)/(2)`
C. `(15)/(8)`
D. `(13)/(8)`

Answer

To solve the question "65g is what percent of 2 kg?", we can follow these steps:

### Step-by-Step Solution:

1. **Convert 2 kg to grams**:
Since the question involves grams, we first convert kilograms to grams.
\[ 2 \text{ kg} = 2 \times 1000 \text{ g} = 2000 \text{ g} \]

2. **Set up the percentage formula**:
To find out what percent 65 grams is of 2000 grams, we use the formula:
\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \]
Here, the part is 65 grams and the whole is 2000 grams.

3. **Substitute the values into the formula**:
Now we substitute the values into the percentage formula:
\[ \text{Percentage} = \left( \frac{65}{2000} \right) \times 100 \]

4. **Calculate the fraction**:
First, we calculate the fraction:
\[ \frac{65}{2000} = 0.0325 \]

5. **Multiply by 100 to find the percentage**:
Now, we multiply by 100 to convert the fraction to a percentage:
\[ 0.0325 \times 100 = 3.25\% \]

6. **Conclusion**:
Therefore, 65 grams is 3.25% of 2 kilograms.

### Final Answer:
65 grams is 3.25% of 2 kg.