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

1. Break Down the Problem

We are given the cost of 7 tables and 12 chairs and need to find the cost of 21 tables and 36 chairs. It can be helpful to express the problem using a proportional relationship.

2. Relevant Concepts

If the cost of 7 tables and 12 chairs is known, we can first find the cost of one table and one chair and then calculate the total cost for 21 tables and 36 chairs.

3. Analysis and Detail

Let:

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

From the given information, we can set up the following equation: $7T + 12C = 48,250$

Now, we need to find the cost of 21 tables and 36 chairs: $21T + 36C$

We can factor out 3 from the latter expression: $21T + 36C = 3(7T + 12C)$ Substituting the known value: $21T + 36C = 3 \times 48,250$

4. Verify and Summarize

Now let's calculate: $3 \times 48,250 = 144,750$ Thus, the cost of 21 tables and 36 chairs is Rs. 1,44,750.

Final Answer

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