20 bags of cement, of 40 kg each, cost Rs 4400. Find the cost of 15 bags of cement weighing 30 kg each.

Answer

To solve the problem step by step, we will first find the cost of 1 kg of cement based on the information given, and then use that to find the cost of 15 bags of cement weighing 30 kg each.

### Step 1: Calculate the total weight of 20 bags of cement.
- Each bag weighs 40 kg.
- Total weight = Number of bags × Weight of each bag
- Total weight = 20 bags × 40 kg/bag = 800 kg

**Hint:** Remember to multiply the number of bags by the weight of each bag to find the total weight.

### Step 2: Determine the cost per kg of cement.
- The total cost of 20 bags is Rs 4400.
- Cost per kg = Total cost / Total weight
- Cost per kg = Rs 4400 / 800 kg = Rs 5.5 per kg

**Hint:** To find the cost per unit, divide the total cost by the total quantity (in this case, weight).

### Step 3: Calculate the cost of 1 bag of cement weighing 30 kg.
- Cost of 1 bag (30 kg) = Weight of the bag × Cost per kg
- Cost of 1 bag = 30 kg × Rs 5.5/kg = Rs 165

**Hint:** Use the cost per kg to find the total cost for a different weight by multiplying.

### Step 4: Calculate the cost of 15 bags of cement weighing 30 kg each.
- Total cost for 15 bags = Number of bags × Cost of 1 bag
- Total cost for 15 bags = 15 bags × Rs 165/bag = Rs 2475

**Hint:** Again, multiply the number of bags by the cost of one bag to find the total cost.

### Final Answer:
The cost of 15 bags of cement weighing 30 kg each is Rs 2475.

---