35. Cost of a piece of cloth is Rs.400. Had the cloth been 4 m longer and the rate per meter
been Rs. 5 less the cost would have remained same. Find the length of the cloth and
rate per meter
Answers
Answered by
1
Answer:
4*5*400=8000
400/4=100m
Answered by
1
Answer:
Let the length of the piece be x metres. Then, rate per metre =Rs.
x
200
New length =(x+5) metres
Since the cost remains same
New rate per metre =Rs.
x+5
200
It is given that
x
200
−
x+5
200
=2⇒
x(x+5)
200(x+5)−200x
=2⇒
x(x+5)
1000
=2
⇒x
2
+5x=500⇒x
2
+5x−500=0$
⇒x
2
+25x−20x−500=0
⇒(x+25)(x−20)=0⇒x+25=0
orx−20=0⇒x=20orx=−25
But x cannot be negative. So, x=20
Rate per metre Rs.
x
200
=Rs
20
200
=Rs.10
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