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A shopkeeper advertises for selling cloth at 4% loss. However, by using a false meter scale he actually gains 20% . What is the actual length of the scale___________?
  1. 65 cm
  2. 55 cm
  3. 40 cm
  4. 90 cm
  5. 80 cm
Explanation

Let the percentage deduction in weight be y%

y−4100−y×100=20⇒y−4100−y=15⇒5y−20=100−y⇒6y=120⇒y=20

Hence, for a meter, length used = (100 - 20)% of 1 m

= 80% of 100 cm = 80 cm

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