Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:
A trader professes to sell his goods at a nominal gain percentage but actually earns $37 \frac{1}{2} \%$ profit by using false weight. If for a kg he uses a weight of 800 gm, what is the nominal gain percentage at which he claims to be selling his goods?
(a)8\%
(b)10\%
(c)15\%
(d)20\%
Answer
Answer (as printed): B
Explanation
Let the required gain be $x \%$. Percentage deduction in weight $=\left(\frac{200}{1000} \times 100\right) \%=20 \%$. $$\begin{aligned} & \begin{aligned} \therefore \frac{20+x}{100-20} \times 100=37 \frac{1}{2} \Rightarrow \frac{20+x}{80} & =\frac{3}{8} \\ & \Rightarrow 20+x=30 \Rightarrow x=10 \end{aligned} \end{aligned}$$ Hence, nominal gain percentage $=10 \%$.
Explanation as extracted from the printed page; notation may be imperfect.