A man purchased 7 bags of rice at the rate of Rs 800 each, 8 bags of rice at X. 1000 each and 5 bags of rice at the rate of Rs 1200 each. What is the average cost of one bag of rice ?

Options

A. Rs 1000
B. Rs 980
C. Rs 1120
D. Rs 1050

Answer

To find the average cost of one bag of rice, we will follow these steps:

### Step 1: Calculate the total cost of each type of rice bag.
- **For the first type:**
- Number of bags = 7
- Cost per bag = Rs 800
- Total cost = 7 bags × Rs 800/bag = Rs 5600

- **For the second type:**
- Number of bags = 8
- Cost per bag = Rs 1000
- Total cost = 8 bags × Rs 1000/bag = Rs 8000

- **For the third type:**
- Number of bags = 5
- Cost per bag = Rs 1200
- Total cost = 5 bags × Rs 1200/bag = Rs 6000

### Step 2: Calculate the total cost of all bags.
- Total cost = Total cost of first type + Total cost of second type + Total cost of third type
- Total cost = Rs 5600 + Rs 8000 + Rs 6000
- Total cost = Rs 19600

### Step 3: Calculate the total number of bags.
- Total number of bags = 7 + 8 + 5
- Total number of bags = 20

### Step 4: Calculate the average cost per bag.
- Average cost = Total cost / Total number of bags
- Average cost = Rs 19600 / 20
- Average cost = Rs 980

### Final Answer:
The average cost of one bag of rice is Rs 980.

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