30 cartons, each containing 18 packets of cookies, cost 4.860. Find the cost of 26 cartons, each containing 24 packets of cookies.

Answer

To solve the problem step-by-step, we can follow these instructions:

### Step 1: Calculate the total number of packets in 30 cartons
- Each carton contains 18 packets.
- Therefore, the total number of packets in 30 cartons is calculated as:
\[ \text{Total packets} = \text{Number of cartons} \times \text{Packets per carton} = 30 \times 18 = 540 \]

### Step 2: Find the cost of one packet
- The total cost of 30 cartons is given as 4860.
- To find the cost of one packet, divide the total cost by the total number of packets:
\[ \text{Cost of one packet} = \frac{\text{Total cost}}{\text{Total packets}} = \frac{4860}{540} \]
- Simplifying this gives:
\[ \text{Cost of one packet} = 9 \text{ rupees} \]

### Step 3: Calculate the total number of packets in 26 cartons
- Each carton now contains 24 packets.
- Therefore, the total number of packets in 26 cartons is calculated as:
\[ \text{Total packets} = \text{Number of cartons} \times \text{Packets per carton} = 26 \times 24 = 624 \]

### Step 4: Calculate the total cost for 26 cartons
- Now, to find the total cost for 26 cartons, multiply the cost of one packet by the total number of packets:
\[ \text{Total cost} = \text{Cost of one packet} \times \text{Total packets} = 9 \times 624 \]
- Performing the multiplication gives:
\[ \text{Total cost} = 5616 \text{ rupees} \]

### Final Answer
The cost of 26 cartons, each containing 24 packets of cookies, is **5616 rupees**.

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