The cost of 7 tables and 12 chairs is Rs 48,250. What is the cost of 21 tables and 36 chairs ?OptionsRs. 2,35,745Rs. 1,44,750Rs. 89,489Rs.74,256

1. Break Down the Problem

We need to find the cost of 21 tables and 36 chairs based on the information given for 7 tables and 12 chairs. We will first calculate the cost per table and per chair, and then scale it up to find the total cost for 21 tables and 36 chairs.

2. Relevant Concepts

Let:

• $T$ = cost of one table
• $C$ = cost of one chair

From the information given: $7T + 12C = 48,250$ We can use proportions to determine the costs for 21 tables and 36 chairs, knowing that 21 tables and 36 chairs is exactly 3 times as much as 7 tables and 12 chairs.

3. Analysis and Detail

Since the requirement for 21 tables and 36 chairs is directly proportional to the requirement for 7 tables and 12 chairs, we can simply multiply the total cost of 7 tables and 12 chairs by 3:

$\text{Cost of 21 tables and 36 chairs} = 3 \times 48,250$

Calculating this: $\text{Cost} = 3 \times 48,250 = 144,750$

4. Verify and Summarize

We performed a direct multiplication based on the proportionality. The calculations are verified and straightforward.

Final Answer

The cost of 21 tables and 36 chairs is Rs. 1,44,750.