Question

A piece of cloth costs rupees 200. If the peice was 5metre longer and each metre of cloth costs rupees 2 less. The cost of peice world have remained unchanged .

Answer 1

Hi mate !!☺


Here's your answer looking for!!
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★↪ length of the cloth be x

↪cost of cloth per m be y then,

↪x * y = 200

  so, y = 200/x _____________❶

↪now, If the piece were 5m longer, and each metre of cloth costed Rs 2 less, then,

(x+5)(y -2) = 200.

xy -2x + 5y -10 = 200

↪putting the value of❶ , we get,

1000/x - 2x = 200 - 190

1000 -2x2 = 10x

500 -x2 = 5x

x2+5x - 500 = 0

x2 +25x -20x -500 =0

x(x+25) -20(x+25) = 0

(x-20) (x+25) = 0

so, x= 20m  (neglecting x= -25)

so, y = 200/x = 200/20

↪  =
$rs \: 10 \: is \: \: the \: answer$


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HOPE IT HELPS!!