Question

5 chairs and 4 tables together cost Rs.5600,while 4 chairs and 3 tables together cost Rs.4340. Find the cost (in rupees) of a chair and that of a table respectively.

• A. 700, 560
• B. 700, 700
• C. 560, 560
• D. 560,700

Answer 1

The correct option is D 560,700

Let the price of one chair is x and the price of one table is y

According to question

5x+4y = 5600 ---(1)

4x+3y = 4340 ---(2)

4$\times$(1)

20x+16y = 22400 ---(3)

5 $\times$(2)

20x+15y = 21700 ---(4)

(3) - (4)

y = 700

put y in (1)

5x+4(700) = 5600

5x = 5600 - 2800 = 2800

x = 560

So the price of one chair is Rs 560 and the price of one table is Rs 700.