A piece of cloth costs ₹10,000. If a 2 m longer piece of the same cloth is purchased for the same amount, it would cost ₹250 less per metre. What is the original length of the piece of cloth?
A.10 m
B.16 m
C.8 m✓ Correct
D.12 m
Explanation
Let length=L. 10000/L - 10000/(L+2) = 250. 10000·2 = 250L(L+2), 80 = L(L+2), L²+2L-80=0, L=(-2+√324)/2=8 m.
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