Rajendra purchased 6 kg 25 g of fruits and 4 kg 355 g of vegetables and put them in a bag. If this bag with these contents weighs 11 kg, find the weight of the empty bag.

Answer

To find the weight of the empty bag, we can follow these steps:

### Step 1: Convert the weights of fruits and vegetables to kilograms.
- Rajendra purchased:
- Fruits: 6 kg 25 g
- Vegetables: 4 kg 355 g

First, we need to convert grams to kilograms since 1 kg = 1000 g.

**Fruits:**
- 25 g = 25/1000 kg = 0.025 kg
- Therefore, the total weight of fruits = 6 kg + 0.025 kg = 6.025 kg

**Vegetables:**
- 355 g = 355/1000 kg = 0.355 kg
- Therefore, the total weight of vegetables = 4 kg + 0.355 kg = 4.355 kg

### Step 2: Calculate the total weight of fruits and vegetables.
Now we add the weights of fruits and vegetables together:
- Total weight = Weight of fruits + Weight of vegetables
- Total weight = 6.025 kg + 4.355 kg

Let's add them:
```
6.025
+ 4.355
---------
10.380 kg
```

### Step 3: Find the weight of the empty bag.
The total weight of the bag with contents is given as 11 kg. To find the weight of the empty bag, we subtract the total weight of the fruits and vegetables from the total weight of the bag.

- Weight of empty bag = Total weight of bag - Total weight of fruits and vegetables
- Weight of empty bag = 11 kg - 10.380 kg

Now, let's perform the subtraction:
```
11.000
- 10.380
---------
0.620 kg
```

### Step 4: Conclusion
The weight of the empty bag is 0.620 kg.

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