The price of four tables and seven chairs is Rs. 12090 . Approximately what will be the price of such twelve tables and twenty one such chairs ?

Options

A. Rs. 32000
B. Rs. 46000
C. Rs. 38000
D. Rs. 36000

Answer

To solve the problem, we need to find the approximate price of 12 tables and 21 chairs based on the given information about the price of 4 tables and 7 chairs.

### Step-by-Step Solution:

1. **Identify the given information:**
The price of 4 tables and 7 chairs is Rs. 12,090.

2. **Set up the relationship:**
Let the price of one table be \( X \) and the price of one chair be \( Y \).
Therefore, we can express the total price as:
\[ 4X + 7Y = 12,090 \]

3. **Determine the price of 12 tables and 21 chairs:**
We want to find the price of 12 tables and 21 chairs, which can be expressed as:
\[ 12X + 21Y \]

4. **Factor out common multiples:**
Notice that \( 12X + 21Y \) can be factored:
\[ 12X + 21Y = 3(4X + 7Y) \]

5. **Substitute the known value:**
From the first equation, we know that \( 4X + 7Y = 12,090 \). Therefore, we can substitute this into our equation:
\[ 12X + 21Y = 3(12,090) \]

6. **Calculate the approximate value:**
Now we calculate:
\[ 3 \times 12,090 = 36,270 \]

7. **Approximate the value:**
Since we are asked for an approximate value, we can round \( 12,090 \) to \( 12,000 \) for easier calculation:
\[ 3 \times 12,000 = 36,000 \]

8. **Final Answer:**
Therefore, the approximate price of 12 tables and 21 chairs is Rs. 36,000.