Given: A piece of cloth costs Rs. 10,000 Concept used: Total cost = total item × price of each item Calculation: Let at the beginning piece of cloth be xm According to the question, [10000∕x−10000∕(x+2)]=250 ⇒[(10000x+20000−10000x)∕x(x+2)]=250 ⇒[20000∕x(x+2)]=250 ⇒20000=250x2+500x ⇒250x2+500x−20000=0 ⇒x2+2x−80=0 [By dividing 250 from both side ] ⇒x2+10x−8x−80=0 ⇒x(x+10)−8(x+10)=0 ⇒(x+10)(x−8)=0 So, x=8 or −10 But x cannot be negative ∴ The original length of the piece of cloth is 8m