https://file.aiquickdraw.com/mathbot/file/1725805806473w6mtu7kz.jpg

The image contains a mathematical word problem written in Hindi. Here's the translation:

"A merchant mixes 450 kg of wheat with 40 kg of sugar and sells the mixture at a price where the cost of wheat is ₹9 per kg and the cost of sugar is ₹27 per kg. If the merchant gains a profit of 20%, what is the selling price per kg of the mixture?"

### Solution:
1. **Cost Price of Wheat**:
   The total cost of wheat = \( 450 \, \text{kg} \times ₹9/\text{kg} = ₹4050 \).

2. **Cost Price of Sugar**:
   The total cost of sugar = \( 40 \, \text{kg} \times ₹27/\text{kg} = ₹1080 \).

3. **Total Cost of Mixture**:
   Total cost of the mixture = ₹4050 (wheat) + ₹1080 (sugar) = ₹5130.

4. **Total Weight of Mixture**:
   Total weight = 450 kg + 40 kg = 490 kg.

5. **Cost Price per kg**:
   Cost price per kg of mixture = \( \frac{₹5130}{490 \, \text{kg}} = ₹10.46/\text{kg} \).

6. **Selling Price with 20% Profit**:
   To find the selling price, we add 20% profit to the cost price.
   \[
   \text{Selling price per kg} = \text{Cost price per kg} \times (1 + \frac{20}{100}) = ₹10.46 \times 1.2 = ₹12.55/\text{kg}.
   \]

Thus, the selling price per kg of the mixture is ₹12.55.

Would you like further details or have any questions?

### Related Questions:
1. What would the selling price be if the profit was 15% instead of 20%?
2. How would the cost change if the price of sugar increased to ₹30 per kg?
3. What would the cost price per kg be if 500 kg of wheat and 50 kg of sugar were used?
4. What would happen if the profit percentage were increased to 25%?
5. How does changing the ratio of wheat to sugar affect the selling price?

### Tip:
Always make sure to compute the total cost and weight of the mixture before applying the profit percentage to calculate the selling price.

A merchant mixes 450 kg of wheat with 40 kg of sugar and sells the mixture at a price where the cost of wheat is ₹9 per kg and the cost of sugar is ₹27 per kg. If the merchant gains a profit of 20%, what is the selling price per kg of the mixture?

Calculate the selling price per kg of a mixture containing 450 kg of wheat and 40 kg of sugar, given a 20% profit. Learn how to apply profit and loss formulas in mixture problems. Ideal for students in Grades 8-10.

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