Fresh grapes contain 80% water, while dry grapes contain 10% water. If the weight of dry grapes is 500 kg, then what is its total weight when it is fresh?

Options

A. 2350 kg
B. 2085 kg
C. 2255 kg
D. 2250 kg

Answer

To solve the problem step by step, we will follow the information given about the percentages of water in fresh and dry grapes and the weight of dry grapes.

### Step-by-Step Solution:

1. **Identify the given data:**
- Fresh grapes contain 80% water.
- Dry grapes contain 10% water.
- Weight of dry grapes = 500 kg.

2. **Determine the percentage of fruit (non-water part) in both types of grapes:**
- In fresh grapes, if 80% is water, then the percentage of fruit is:
\[ 100\% - 80\% = 20\% \]
- In dry grapes, if 10% is water, then the percentage of fruit is:
\[ 100\% - 10\% = 90\% \]

3. **Calculate the weight of the fruit in dry grapes:**
- Since dry grapes are 90% fruit, we can find the weight of the fruit in the dry grapes:
\[ \text{Weight of fruit} = 90\% \text{ of } 500 \text{ kg} = \frac{90}{100} \times 500 = 450 \text{ kg} \]

4. **Relate the weight of fruit in fresh grapes to the weight of fruit in dry grapes:**
- The weight of the fruit (or pulp) remains the same whether the grapes are fresh or dry. Therefore, the weight of the fruit in fresh grapes is also 450 kg.

5. **Calculate the total weight of fresh grapes:**
- In fresh grapes, 20% of the total weight is the fruit (450 kg). We can set up the equation:
\[ 20\% \text{ of total weight} = 450 \text{ kg} \]
\[ \frac{20}{100} \times \text{Total weight} = 450 \]
\[ \text{Total weight} = \frac{450 \times 100}{20} = 2250 \text{ kg} \]

### Final Answer:
The total weight of fresh grapes is **2250 kg**.

---