A tea producer mixed two types of tea first of 18Rs /kg and second of 20Rs/kg in ratio of 5 : 3 and sold the mixture at the rate of 21Rs/kg. Find his profit %.

Answer

To solve the problem step by step, let's break it down:

### Step 1: Determine the Cost Price of Each Type of Tea
- The first type of tea costs Rs. 18/kg.
- The second type of tea costs Rs. 20/kg.

### Step 2: Find the Ratio of the Teas
- The two types of tea are mixed in the ratio of 5:3.

### Step 3: Calculate the Total Cost of the Mixture
- Let’s assume we are mixing 5 kg of the first type and 3 kg of the second type.
- Cost of 5 kg of the first type = 5 kg × Rs. 18/kg = Rs. 90.
- Cost of 3 kg of the second type = 3 kg × Rs. 20/kg = Rs. 60.
- Total cost of the mixture = Rs. 90 + Rs. 60 = Rs. 150.

### Step 4: Calculate the Total Weight of the Mixture
- Total weight of the mixture = 5 kg + 3 kg = 8 kg.

### Step 5: Calculate the Cost Price per kg of the Mixture
- Cost price per kg of the mixture = Total cost / Total weight = Rs. 150 / 8 kg = Rs. 18.75/kg.

### Step 6: Determine the Selling Price of the Mixture
- The selling price of the mixture is given as Rs. 21/kg.

### Step 7: Calculate the Profit
- Profit = Selling Price - Cost Price = Rs. 21 - Rs. 18.75 = Rs. 2.25/kg.

### Step 8: Calculate the Profit Percentage
- Profit Percentage = (Profit / Cost Price) × 100
- Profit Percentage = (Rs. 2.25 / Rs. 18.75) × 100 = 12%.

### Final Answer
The profit percentage is **12%**.

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