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)

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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