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The problem states that a dealer buys 11 kg of wheat at Rs. 27.5 per kg and mixes it with another quality of wheat in the ratio of 4:5. The price of the resulting mixture is Rs. 30 per kg. We are tasked with finding the price per kg of the other quality of wheat.

Let's break this down and solve step by step using the concept of weighted averages:

### Step 1: Understanding the ratio and weights
- The ratio of the first quality of wheat (Rs. 27.5 per kg) to the second quality is 4:5.
- Therefore, if the weight of the first quality is 4 parts, then the weight of the second quality will be 5 parts.

### Step 2: Setting up the equation
Let the price per kg of the other quality of wheat be \( x \) Rs/kg.

Using the weighted average formula for price, we can write:
\[
\text{Average Price} = \frac{(4 \times 27.5) + (5 \times x)}{4 + 5} = 30
\]

### Step 3: Solving the equation
Simplify the equation:
\[
\frac{(4 \times 27.5) + (5 \times x)}{9} = 30
\]
\[
(4 \times 27.5) + (5 \times x) = 30 \times 9
\]
\[
110 + 5x = 270
\]
\[
5x = 270 - 110
\]
\[
5x = 160
\]
\[
x = \frac{160}{5} = 32
\]

### Conclusion:
The price of the other quality of wheat is Rs. 32 per kg.

Would you like further clarification on any step? 

Here are 5 related questions for further practice:
1. What would be the price of the mixture if the other wheat price was Rs. 35 per kg?
2. How would the result change if the ratio was 3:7 instead of 4:5?
3. If the price of the first quality of wheat increased to Rs. 30 per kg, what would be the new price of the mixture?
4. How many kilograms of the second quality are mixed with the 11 kg of the first quality based on the ratio?
5. If the total weight of the mixture is 45 kg, how much of each quality of wheat is in the mixture?

**Tip**: Understanding the concept of weighted averages is essential when dealing with mixtures in problems like this.

A dealer buys 11 kg of wheat at Rs. 27.5 per kg and mixes it with another quality of wheat in the ratio of 4:5. The price of the resulting mixture is Rs. 30 per kg. The price of the other quality of wheat is?

Solve the problem of finding the price of wheat when mixed with another quality using the concept of weighted averages. The first wheat price is Rs. 27.5/kg, and the final mixture is Rs. 30/kg. Learn the steps for solving this ratio and average-based problem, suitable for students in Grades 8-10.

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