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Hi ✌️✌️
Let length of the cloth = x
Cost of cloth per m = y
x * y = 200
y = 200/x ....(1)
Conditions-
1.If the piece were 5m longer
2.Each metre of cloth costed Rs 2 less
(x+5)(y -2) = 200.
xy -2x + 5y -10 = 200
Substituting value of (1)
1000/x - 2x = 200 - 190
1000 -2x²= 10x
500 -x²= 5x
x²+5x - 500 = 0
(x-20) (x+25) = 0
x= 20 (neglecting x= -25)
y = 200/x = 200/20 = 10
Length of the piece of cloth is 20 m and rate per metre is Rs 10
I hope it will help you ❣️❣️
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