Question

Trader professes to sell his goods at a loss of $8\%$ but uses a weight of $900$ grams in place of a $1kg$ weight. What is his real loss or gain percent?

• A. $2\%$ loss
• B. $2\%$ gain
• C. $2.22\%$ gain
• D. None of the above

Answer 1

Answer: (C)

$2.22\%$ gain

The trader professes to sell his goods at a loss of $8\%$.
Therefore, selling price $=\left(\begin{array}{c}100-8\end{array}\right)\%$ of cost price
or SP $=0.92CP$
But, when he uses weights that measure only $900$ grams while he claims to measure $1kg$.
Hence, CP of $900$ grams $=0.90\times$ Original CP
So, he is selling goods worth $0.90CP$ at $0.92CP$
Therefore, he makes a profit of $0.02$ CP on his cost of $0.9$ CP
Profit %=
$\frac{0.92-0.90}{0.90}\times 100=2.22\%$