2022 · Q37
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?
Elementary MathematicsRatio and Proportion
- A8 m
- B10 m
- C12 m
- D16 m
Explanation
10000/L-10000/(L+2) = 250 simplifies to L²+2L-80 = 0, i.e. (L+10)(L-8) = 0, so L = 8 m. Hence the keyed option is A.