Answers

2015-11-03T13:16:25+05:30
Let cost of 1 chair be  Rs. x 
     cost of be table be Rs. y 
According to the question, 
cost of 4 chairs and 3 tables is  Rs. 2100

So,  4x + 3y = 2100   ……...... (i) 
Also,
 cost of 5 chairs and 2 tables is Rs.1750
 
So  5x + 2y = 1750 ……….. (ii) 
from equation (i) and (ii) 
 2 × (i) gives 8x + 6y = 4200  ……… (iii) 
 3 × (ii) gives 15x + 6y = 5250 ……….. (iV) 
{(iii) - (iV),
15x + 6y – 8x – 6y = 5250 – 4200 
7x = 1050 
x=1050/7  
So, x = 150 
putting the value of x in equation (ii), we get  
  5(150) + 2y = 1750 
⇒750 + 2y = 1750 
⇒2y= 1750 – 750 
⇒2y = 1000
 y =1000/2
 y =500
Hence,  cost of each chair,x = Rs. 150 
 cost of each table,y = Rs. 500  

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