Cost of 24 identical articals Rs. 108. Find the cost of 40 similar articles.

Answer

To find the cost of 40 similar articles when the cost of 24 identical articles is Rs. 108, we can follow these steps:

### Step 1: Find the cost of one article.
We know that the cost of 24 articles is Rs. 108. To find the cost of one article, we divide the total cost by the number of articles.

\[ \text{Cost of one article} = \frac{\text{Total Cost}}{\text{Number of Articles}} = \frac{108}{24} \]

### Step 2: Simplify the fraction.
Now, we simplify the fraction \(\frac{108}{24}\).

\[ \frac{108}{24} = \frac{9}{2} \text{ (after dividing both numerator and denominator by 12)} \]

So, the cost of one article is Rs. 4.5 (or Rs. \(\frac{9}{2}\)).

### Step 3: Calculate the cost of 40 articles.
Now that we know the cost of one article, we can find the cost of 40 articles by multiplying the cost of one article by 40.

\[ \text{Cost of 40 articles} = \text{Cost of one article} \times 40 = \frac{9}{2} \times 40 \]

### Step 4: Perform the multiplication.
Now we perform the multiplication:

\[ \frac{9}{2} \times 40 = \frac{9 \times 40}{2} = \frac{360}{2} = 180 \]

### Conclusion:
Thus, the cost of 40 similar articles is Rs. 180.

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