35 cartons of 24 soap bars each cost रु 15,120. Find the cost of 20 cartons of 40 soap bars each.

Answer

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

### Step 1: Calculate the total number of soap bars in 35 cartons.
- Each carton contains 24 soap bars.
- Therefore, the total number of soap bars in 35 cartons is:
\[ \text{Total soap bars} = 35 \times 24 = 840 \]

### Step 2: Determine the cost of one soap bar.
- The total cost of 35 cartons is रु 15,120.
- Since there are 840 soap bars in total, the cost of one soap bar can be calculated as:
\[ \text{Cost of one soap} = \frac{15120}{840} \]

### Step 3: Perform the division to find the cost of one soap bar.
- Calculating the cost:
\[ \text{Cost of one soap} = \frac{15120}{840} = 18 \]
- So, each soap bar costs रु 18.

### Step 4: Calculate the cost of 40 soap bars.
- Now, to find the cost of 40 soap bars:
\[ \text{Cost of 40 soaps} = 40 \times 18 = 720 \]

### Step 5: Determine the cost of one carton containing 40 soap bars.
- Since one carton contains 40 soap bars, the cost of one carton is:
\[ \text{Cost of one carton} = 720 \]

### Step 6: Calculate the cost of 20 cartons.
- Finally, to find the cost of 20 cartons:
\[ \text{Cost of 20 cartons} = 20 \times 720 = 14400 \]

### Final Answer:
- The cost of 20 cartons of 40 soap bars each is रु 14,400.

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