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Question : 37 of 39

Marks: +1, -0

5 chairs and 3 tables cost of Rs.350. and 3 Chairs and 5 tables cost Rs.370. What is the cost of the table and two chairs?

Rs.130
Rs. 120
Rs.150
Rs.140

Solution:

Concept:

Form linear equations from given costs, solve for chair and table prices, then compute required total.

Explanation:

Let cost of a chair =

C

and cost of a table =

T

.

From given:

5C + 3T = 350

...(i) and

3C + 5T = 370

...(ii).

Multiply (i) by 3:

15C + 9T = 1050

.

Multiply (ii) by 5:

15C + 25T = 1850

.

Subtract:

(15C + 25T) - (15C + 9T) = 1850 - 1050 \implies 16T = 800 \implies T = 50

.

Substitute

T = 50

in (i):

5C + 150 = 350 \implies 5C = 200 \implies C = 40

.

Cost of table and two chairs =

T + 2C = 50 + 80 = 130

.

Answer:

Rs.130

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