Question

A piece of copper wire costs rs.240 .If it was 4 meter longer and price of each meter of copper wire costs Rs.3 less,the total cost of the piece would remain unchanged.Find the length of copper wire

Answer 1

Answer:

Cost of 4 meter wire = Rs.240so, price of each metercosts =Rs 3 lesstherefore, the lengthof the wire = 240/3*4 = 80*4 = 320

Step-by-step explanation:

Answer 2

Answer: 16m

Step-by-step explanation:

• Given:- Cost of copper wire = Rs.240

• Let the length of copper wire be n meters.
• Now according to question, if the length of wire is 4 meters longer which means (n+4) m.
• And cost of per meter is Rs.3 less which  means $Rs \ (\frac{240}{n}-3 )$
• Solution:

   $(n+4) \ (\frac{240}{n}-3 )= 240$

⇒ $240-3n+\frac{960}{n}-12=240$

⇒$3n+12=\frac{960}{n}$

⇒$3n^{2} +12n-960=0$

On solving we get,

∴ $n=16,-20$

So, the original length of the copper wire was 16 meters.

• Hence, the required answer is 16m.

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