10 boxes of apples, of 50 kg each, cost Rs 6000. Find the cost of 20 boxes of apples weighing 40 kg each.

Answer

To solve the problem step by step, we will break it down into manageable parts.

### Step 1: Calculate the total weight of 10 boxes of apples.
- Each box weighs 50 kg.
- Therefore, the total weight of 10 boxes is calculated as:
\[ \text{Total weight} = \text{Weight of one box} \times \text{Number of boxes} = 50 \, \text{kg} \times 10 = 500 \, \text{kg} \]

**Hint:** Multiply the weight of one box by the total number of boxes to find the total weight.

### Step 2: Determine the cost of 1 kg of apples.
- The total cost for 10 boxes (500 kg) is Rs 6000.
- To find the cost of 1 kg, we divide the total cost by the total weight:
\[ \text{Cost per kg} = \frac{\text{Total cost}}{\text{Total weight}} = \frac{6000 \, \text{Rs}}{500 \, \text{kg}} = 12 \, \text{Rs/kg} \]

**Hint:** To find the cost per unit, divide the total cost by the total quantity.

### Step 3: Calculate the total weight of 20 boxes of apples weighing 40 kg each.
- Each box now weighs 40 kg.
- Therefore, the total weight of 20 boxes is:
\[ \text{Total weight} = \text{Weight of one box} \times \text{Number of boxes} = 40 \, \text{kg} \times 20 = 800 \, \text{kg} \]

**Hint:** Again, multiply the weight of one box by the number of boxes to find the new total weight.

### Step 4: Calculate the total cost for 800 kg of apples.
- We already know the cost per kg is Rs 12.
- Therefore, the total cost for 800 kg is:
\[ \text{Total cost} = \text{Cost per kg} \times \text{Total weight} = 12 \, \text{Rs/kg} \times 800 \, \text{kg} = 9600 \, \text{Rs} \]

**Hint:** To find the total cost, multiply the cost per unit by the total quantity.

### Conclusion:
The cost of 20 boxes of apples weighing 40 kg each is Rs 9600.

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