7 kg of tea costing 280 per kg is mixed with 9 kg of tea costing 240 per kg. The average price per kg of the mixed tea is

Options

A. 255.8
B. 257.5
C. 267.2
D. 267.5

Answer

To find the average price per kg of the mixed tea, we will follow these steps:

### Step 1: Calculate the total cost of each type of tea.
1. **For the first type of tea:**
- Cost per kg = 280
- Quantity = 7 kg
- Total cost = Cost per kg × Quantity = 280 × 7 = 1960

2. **For the second type of tea:**
- Cost per kg = 240
- Quantity = 9 kg
- Total cost = Cost per kg × Quantity = 240 × 9 = 2160

### Step 2: Calculate the total cost of the mixed tea.
- Total cost of mixed tea = Total cost of first tea + Total cost of second tea
- Total cost = 1960 + 2160 = 4120

### Step 3: Calculate the total quantity of the mixed tea.
- Total quantity = Quantity of first tea + Quantity of second tea
- Total quantity = 7 kg + 9 kg = 16 kg

### Step 4: Calculate the average price per kg of the mixed tea.
- Average price per kg = Total cost of mixed tea / Total quantity
- Average price = 4120 / 16 = 257.5

### Final Answer:
The average price per kg of the mixed tea is **257.5 rupees**.

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