Question

q) total cost of 3 tables and 2 chairs is rs 1300 and that of 2 tables and 3 chairs is rs 1200.Find the cost of one chair

Answer 1

Answer:

Rs.200

Step-by-step explanation:

let the cost of one chair be x and cost of one table be y.

3y+2x=1300                 --- (1)

2y+3x=1200                 --- (2)

on adding (1) and (2) ,we get

5y+5x=2500

=> x+y=500         --- (3)

on subtracting (1) and (2),we get

y-x=100

=> x-y=-100         --- (4)  

on solving (3) and (4),we get

 x+y=500  

 x-y=-100  

-  +    +

-----------------

 2y=600

=> y=300

put y=300 in (3),

x+300=500

=> x=200

hence,the cost of one chair is Rs.200 and cost of one table is Rs.300