Darjeeling tea costing Rs 450 per kg is mixed with Assam tea at Rs 250 per kg to make blended tea. If the mixture contains `40%` Darjeeling tea, calculate the cost of 1 kg of the mixture.

Answer

To solve the problem of finding the cost of 1 kg of the blended tea mixture, we can follow these steps:

### Step 1: Understand the composition of the mixture
The mixture consists of 40% Darjeeling tea and 60% Assam tea.

### Step 2: Calculate the cost contribution of Darjeeling tea
The cost of Darjeeling tea is Rs 450 per kg. Since the mixture contains 40% Darjeeling tea, we can calculate the cost contribution from Darjeeling tea for 1 kg of the mixture:
\[ \text{Cost from Darjeeling tea} = 40\% \text{ of } 450 = \frac{40}{100} \times 450 = 180 \text{ Rs} \]

### Step 3: Calculate the cost contribution of Assam tea
The cost of Assam tea is Rs 250 per kg. Since the mixture contains 60% Assam tea, we can calculate the cost contribution from Assam tea for 1 kg of the mixture:
\[ \text{Cost from Assam tea} = 60\% \text{ of } 250 = \frac{60}{100} \times 250 = 150 \text{ Rs} \]

### Step 4: Calculate the total cost of the mixture
Now, we can find the total cost of 1 kg of the blended tea mixture by adding the cost contributions from both types of tea:
\[ \text{Total cost of mixture} = \text{Cost from Darjeeling tea} + \text{Cost from Assam tea} = 180 + 150 = 330 \text{ Rs} \]

### Final Answer
Thus, the cost of 1 kg of the mixture is Rs 330.

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