A grocer professes to sell goods at the cost price but uses false weights. He gains $$\frac{{100}}{9}$$% in this manner. He uses a weight of
a) 950gms
b) 900gms
c) 900gms
d) 940gms
Answer: b
Explanation:
$$\eqalign{
& {\text{Gain}}\% \cr
& = {\frac{{ {{\text{True}}\,{\text{Weight}} – {\text{False}}\,{\text{Weight}}} }}{{{\text{False}}\,{\text{Weight}}}}} \times 100 \cr
& \frac{{100}}{9} = {\frac{{ {1 – x} }}{x}} \times 100 \cr
& \frac{{ {1 – x} }}{x} = \frac{1}{9} \cr
& 10x = 9 \cr
& x = 0.9\,kg = 900\,gms \cr} $$
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