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An electric cable cost Rs 200.If the cable was 5 m longer and each metre of cable costs Rs 2 less,the cost of cable would have remained unchanged.

Answers (1)

D Deependra Verma

Let the length of the cable=L meters
The cost of the cable= $frac200L fracRsMeter$
Given
$(L+3)*(frac200L-2)=, Rs, 200$
$200-2L+frac600L-6=, Rs, 200$
On Simplifying,we get
$L^2+3L-300=0$
$L=frac[-sqrt3pm sqrt1209]2=15.885, , meters$
Cost of the cable=12.59 Rs/m

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