The cost making an article is divided between materials ,labour and overheads in the ratio 3:4:1. If the materials cost Rs.11.25 , The cost of the article is -----

Options

A. Rs. 33.75
B. Rs. 45
C. Rs. 9.80
D. Rs. 30

Answer

To solve the problem, we need to find the total cost of the article based on the given ratio of costs for materials, labor, and overheads.

### Step-by-Step Solution:

1. **Understand the Ratio**:
The costs are divided in the ratio of materials: labor: overheads = 3:4:1. This means that for every 3 parts of material cost, there are 4 parts of labor cost and 1 part of overhead cost.

2. **Calculate the Total Parts**:
To find the total number of parts in the ratio, we add the parts together:
\[ 3 + 4 + 1 = 8 \text{ parts} \]

3. **Identify the Cost of Materials**:
We are given that the cost of materials is Rs. 11.25. In the ratio, the cost of materials corresponds to 3 parts.

4. **Calculate the Cost of One Part**:
To find the cost of one part, we divide the cost of materials by the number of parts for materials:
\[ \text{Cost of one part} = \frac{\text{Cost of materials}}{\text{Parts for materials}} = \frac{11.25}{3} = 3.75 \text{ Rs.} \]

5. **Calculate the Total Cost of the Article**:
Now, we can find the total cost of the article by multiplying the cost of one part by the total number of parts:
\[ \text{Total cost} = \text{Cost of one part} \times \text{Total parts} = 3.75 \times 8 = 30 \text{ Rs.} \]

### Final Answer:
The cost of the article is Rs. 30.

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