2 chairs and 3 tables cost ₹5650 where 3 chairs and 2 table cost ₹7100 find the cost of a chair and a table separately
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Answer:
cost of a chair is Rs.2000 and cost of a table is Rs.550
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Explanation:
let the cost of chairs be "x" and the cost of tables be "y".
In first case,2x+3y=5650-----------equation(1)
In second case,3x+2y=7100-------equation(2)
Multiplying Equation(1) by 2,we get:
→4x+6y=11300---------Equation(3)
Multiplying Equation (2) by 3,we get:
→9x+6y=21300--------Equation(4)
Now Equation (4) - Equation(3),we get:
→ 9x+6y=21300
- 4x+6y=11300
(-) (-) (-)
–––––––––––
5x =10000
→ x= 2000-----COST of CHAIRS
Putting the value of "x" in Equation(2),we get:
→3×2000+2y=7100
→6000+2y=7100
→2y=7100 - 6000
→2y=1100
→y=550------COST of TABLES
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