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A fruit vendor sells apples at cost price but uses a false weight of 960 gm instead of 1 kg. What is his gain percent?

A$4\%$
B$4\frac{1}{6}\%$
C$4\frac{1}{4}\%$
D$5\%$
Answer & Solution
Correct answer: B. $4\frac{1}{6}\%$
He gives only 960 gm while charging for 1000 gm, so the error is 40 gm. Using the false-weight formula, $\text{Gain \%}=\frac{\text{Error}}{\text{True value}-\text{Error}}\times 100=\frac{40}{960}\times 100=4\frac{1}{6}\%$. Hence the gain is $4\frac{1}{6}\%$.
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