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This problem involves the concept of weighted average and profit calculation. Let's break it down:

We are given:
- Two types of tea priced at ₹180 per kg and ₹200 per kg.
- They are mixed in the ratio of 5:3.
- The mixture is sold at ₹210 per kg.
- We are asked to find the percentage profit.

### Step 1: Calculate the Cost Price (C.P.) of the Mixture

The two types of tea are mixed in the ratio of 5:3. We will calculate the cost price of the mixture using a weighted average formula:

\[
\text{C.P. of mixture} = \frac{(5 \times 180) + (3 \times 200)}{5 + 3}
\]

\[
= \frac{(900) + (600)}{8} = \frac{1500}{8} = 187.5 \, \text{₹ per kg}
\]

### Step 2: Calculate the Profit Percentage

The tea mixture is sold at ₹210 per kg. So, the selling price (S.P.) is ₹210 per kg.

The profit percentage can be calculated using the formula:

\[
\text{Profit Percentage} = \frac{\text{S.P.} - \text{C.P.}}{\text{C.P.}} \times 100
\]

\[
= \frac{210 - 187.5}{187.5} \times 100
\]

\[
= \frac{22.5}{187.5} \times 100 = 12\%
\]

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

Thus, the correct option is **(c) 12%**.

---

Would you like a detailed breakdown of any step? Here are some related questions:

1. What is the formula for weighted average in mixtures?
2. How does changing the ratio of mixing affect the cost price?
3. What is the difference between cost price and selling price?
4. How is profit percentage calculated in general?
5. What would happen if the selling price were lower than the cost price?

**Tip:** When solving mixture problems, always remember to calculate the cost price using the weighted average based on the ratio provided.

Two types of tea are priced at ₹180 and ₹200 per kg, respectively. They are mixed in the ratio 5:3. The mixture is sold at ₹210 per kg. What is the percentage profit?

This problem involves calculating the percentage profit when two types of tea priced at ₹180 and ₹200 per kg are mixed in the ratio 5:3 and sold at ₹210 per kg. Learn how to use the weighted average formula and profit percentage calculation to solve this.

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