Question

The price of 10 chairs is equal to that of 4 tables. the price of 15 chairs and 2 tables together is rs. 4000. the total price of 12 chairs and 3 tables is:

a. rs. 3500
b. rs. 3750
c. rs. 3840
d. rs. 3900

Answer 1

By setting up equations with the price of chairs represented as C and the price of tables as T, we find that C = 200 and T = 500. Using these values, the total price of 12 chairs and 3 tables is calculated to be Rs. 3900.

Step-by-step explanation:

The question is asking to find the total price of 12 chairs and 3 tables given a couple of relationships between the prices of chairs and tables. We are told that the price of 10 chairs is equal to that of 4 tables, and the price of 15 chairs and 2 tables is Rs. 4000.

Let's call the price of one chair C and the price of one table T. We can set up the following equations based on the information provided:

10C = 4T ---------- (1)

15C + 2T = 4000 ---------- (2)

From equation (1), we can derive that T = 2.5C. Substituting the value of T from Equation (1) into Equation (2), we get:

15C + 2(2.5C) = 4000
15C + 5C = 4000
20C = 4000
C = 200

Substituting C = 200 into Equation (1) to find the price of one table:

10(200) = 4T
2000 = 4T
T = 500

Now, we can find the total price of 12 chairs and 3 tables:

12C + 3T
= 12(200) + 3(500)
= 2400 + 1500
= 3900

Thus, the total price of 12 chairs and 3 tables is Rs. 3900.