The average weight of liquid in 100 bottles is 500 gm.The total weight of all the bottles is 20 kg.The average weight of a bottle with liquid is:

Options

A. 0.65 kg
B. 0.7 kg
C. 70 ml
D. none of these

Answer

To solve the problem step by step, we will break down the information given and perform the necessary calculations.

### Step 1: Calculate the Total Weight of Liquid
We know that the average weight of liquid in 100 bottles is 500 grams. To find the total weight of the liquid, we multiply the average weight by the number of bottles.

\[ \text{Total weight of liquid} = \text{Average weight of liquid} \times \text{Number of bottles} \]
\[ \text{Total weight of liquid} = 500 \, \text{grams} \times 100 = 50000 \, \text{grams} \]

### Step 2: Convert Total Weight of Liquid to Kilograms
Since 1 kg = 1000 grams, we can convert the total weight of the liquid from grams to kilograms.

\[ \text{Total weight of liquid in kg} = \frac{50000 \, \text{grams}}{1000} = 50 \, \text{kg} \]

### Step 3: Calculate the Total Weight of All Bottles
The problem states that the total weight of all the bottles (including the liquid) is 20 kg.

### Step 4: Calculate the Total Weight Including Bottles
To find the total weight including the bottles and the liquid, we add the weight of the bottles to the weight of the liquid.

\[ \text{Total weight including bottles} = \text{Weight of bottles} + \text{Weight of liquid} \]
\[ \text{Total weight including bottles} = 20 \, \text{kg} + 50 \, \text{kg} = 70 \, \text{kg} \]

### Step 5: Calculate the Average Weight of a Bottle with Liquid
Now, we need to find the average weight of a bottle with liquid. We do this by dividing the total weight including the liquid by the number of bottles.

\[ \text{Average weight of a bottle with liquid} = \frac{\text{Total weight including bottles}}{\text{Number of bottles}} \]
\[ \text{Average weight of a bottle with liquid} = \frac{70 \, \text{kg}}{100} = 0.7 \, \text{kg} \]

### Final Answer
The average weight of a bottle with liquid is **0.7 kg**.

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