Four chairs two tables cost Rs2500 while six chairs and five tables cost Rs 600.find the cost of one chair and one table separately (use Craer rule by forming pair of linear equations)
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Answer: cost of one chair = 62.5 Rs
cost of one table = 1125 Rs
Explanation: let cost of one chair be c
let cost of one table be t
thus, 4c + 2t = 2500 ....(1)
and, 6c + 5t = 6000 .... (2)
multiply equation (1) by 3 and equation (2) by 2
thus we get,
12c + 6t = 7500
12c + 10t = 12000
subract the new two equations
12c + 6t - 12c - 10t = 7500 - 12000
thus, -4t = -4500
thus, t = 4500/4
t = 1125 Rs
so c = 62.5 Rs
Step-by-step explanation:
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