A shopkeeper bougth 10 kg of rice for Rs. 200, 5 kg of rice at Rs. 15 per kg, and 5 kg at Rs. 25 per kg. Find the average costof the rice per kg.

Options

A. Rs. 25
B. Rs. 15
C. Rs. 10
D. Rs. 20

Explanation

To find the average cost of rice per kg, we need to first calculate the total cost of all the rice purchased and then divide that by the total weight of the rice.

### Step 1: Calculate the total cost of each purchase
1. **For the first purchase**:
- The shopkeeper bought 10 kg of rice for Rs. 200.
- Total cost for this purchase = Rs. 200.

2. **For the second purchase**:
- The shopkeeper bought 5 kg of rice at Rs. 15 per kg.
- Total cost for this purchase = 5 kg × Rs. 15/kg = Rs. 75.

3. **For the third purchase**:
- The shopkeeper bought 5 kg of rice at Rs. 25 per kg.
- Total cost for this purchase = 5 kg × Rs. 25/kg = Rs. 125.

### Step 2: Calculate the total cost of all rice
- Total cost = Cost of first purchase + Cost of second purchase + Cost of third purchase
- Total cost = Rs. 200 + Rs. 75 + Rs. 125
- Total cost = Rs. 400.

### Step 3: Calculate the total weight of rice
- Total weight = Weight of first purchase + Weight of second purchase + Weight of third purchase
- Total weight = 10 kg + 5 kg + 5 kg
- Total weight = 20 kg.

### Step 4: Calculate the average cost per kg
- Average cost per kg = Total cost / Total weight
- Average cost per kg = Rs. 400 / 20 kg
- Average cost per kg = Rs. 20.

### Final Answer:
The average cost of the rice per kg is Rs. 20.

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