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 ?
A. 70 cm
B. 75 cm
C. 80 cm
D. 90 cm
Answer: Option C
Solution(By Examveda Team)
Let the percentage deduction in weight be y%Then,
$$\eqalign{ & \frac{{y - 4}}{{100 - y}} \times 100 = 20 \cr & \Rightarrow \frac{{y - 4}}{{100 - y}} = \frac{1}{5} \cr & \Rightarrow 5y - 20 = 100 - y \cr & \Rightarrow 6y = 120 \cr & \Rightarrow y = 20 \cr} $$
Hence, for a meter, length used = (100 - 20)% of 1 m
= 80% of 100 cm = 80 cm
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I cannt understand can u explain it