To solve the problem step by step, we will calculate the total cost price of the rice and sugar, determine the profit on each, and then find the total selling price.
### Step 1: Calculate the Cost Price of Rice
The shopkeeper purchased 10 kg of rice at Rs. 75 per kg.
\[
\text{Cost Price of Rice} = \text{Quantity} \times \text{Rate per kg} = 10 \, \text{kg} \times 75 \, \text{Rs/kg} = 750 \, \text{Rs}
\]
### Step 2: Calculate the Cost Price of Sugar
The shopkeeper purchased 20 kg of sugar at Rs. 85 per kg.
\[
\text{Cost Price of Sugar} = \text{Quantity} \times \text{Rate per kg} = 20 \, \text{kg} \times 85 \, \text{Rs/kg} = 1700 \, \text{Rs}
\]
### Step 3: Calculate the Total Cost Price
Now, we will add the cost prices of rice and sugar to find the total cost price.
\[
\text{Total Cost Price} = \text{Cost Price of Rice} + \text{Cost Price of Sugar} = 750 \, \text{Rs} + 1700 \, \text{Rs} = 2450 \, \text{Rs}
\]
### Step 4: Calculate the Profit on Rice
The shopkeeper gains 20% on rice. To find the profit on rice:
\[
\text{Profit on Rice} = \text{Cost Price of Rice} \times \frac{20}{100} = 750 \, \text{Rs} \times 0.20 = 150 \, \text{Rs}
\]
### Step 5: Calculate the Profit on Sugar
The shopkeeper gains 10% on sugar. To find the profit on sugar:
\[
\text{Profit on Sugar} = \text{Cost Price of Sugar} \times \frac{10}{100} = 1700 \, \text{Rs} \times 0.10 = 170 \, \text{Rs}
\]
### Step 6: Calculate the Total Profit
Now, we will add the profits from rice and sugar to find the total profit.
\[
\text{Total Profit} = \text{Profit on Rice} + \text{Profit on Sugar} = 150 \, \text{Rs} + 170 \, \text{Rs} = 320 \, \text{Rs}
\]
### Step 7: Calculate the Total Selling Price
Finally, we will add the total profit to the total cost price to find the total selling price.
\[
\text{Total Selling Price} = \text{Total Cost Price} + \text{Total Profit} = 2450 \, \text{Rs} + 320 \, \text{Rs} = 2770 \, \text{Rs}
\]
### Conclusion
The total sale price is **Rs. 2770**.
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