The cost of 6 tables and 8 chairs was Rs 7212/-. What will be the cost of 15 tables and 20 chairs?

Options

A. Rs 19020/-
B. Rs 18030/-
C. Rs 16080/-
D. Rs 12040/-

Answer

To solve the problem of finding the cost of 15 tables and 20 chairs given that the cost of 6 tables and 8 chairs is Rs 7212, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given information**:
- Cost of 6 tables and 8 chairs = Rs 7212

2. **Set up the equation**:
- Let the cost of one table be \( T \) and the cost of one chair be \( C \).
- Therefore, we can write the equation:
\[ 6T + 8C = 7212 \]

3. **Simplify the equation**:
- We can divide the entire equation by 2 to make calculations easier:
\[ 3T + 4C = 3606 \]

4. **Determine the cost of 15 tables and 20 chairs**:
- We want to find the cost of 15 tables and 20 chairs, which can be expressed as:
\[ 15T + 20C \]
- Notice that \( 15T + 20C \) can be factored as:
\[ 15T + 20C = 5(3T + 4C) \]

5. **Substitute the simplified equation**:
- From the simplified equation \( 3T + 4C = 3606 \), we can substitute it into our expression for 15 tables and 20 chairs:
\[ 15T + 20C = 5 \times 3606 \]

6. **Calculate the final cost**:
- Now, multiply:
\[ 15T + 20C = 5 \times 3606 = 18030 \]

7. **Conclusion**:
- The cost of 15 tables and 20 chairs is Rs 18030.

### Final Answer:
The cost of 15 tables and 20 chairs is Rs 18030.

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