Subject: General Aptitude · Chapter: Profit and Loss · Exam: 2006 · Marks: · Difficulty:
A firm of readymade garments makes both men's and women's shirts. Its average profit is 6\% of the sales. Its profit in men's shirts average 8\% of the sales and women's shirts comprise 60\% of the output. The average profit per sales rupee in women's shirts is
(a)0.0166
(b)0.0466
(c)0.0666
(d)None of these
Answer
Answer (as printed): B
Explanation
Let the total sales be ₹ $x$ and let the profit in women's shirts average $y \%$ of the sales. Then, 8\% of 40\% of $x+y$ \% of 60\% of $x=6 \%$ of $x$ $$\begin{aligned} & \Rightarrow \quad \frac{8}{100} \times \frac{40}{100} \times x+\frac{y}{100} \times \frac{60}{100} \times x=\frac{6}{100} \times x \\ & \Rightarrow \quad \frac{32}{10}+\frac{6 y}{10}=6 \Rightarrow \frac{6 y}{10}=\frac{28}{10} \Rightarrow y=\frac{28}{6}=4.66 . \end{aligned}$$ ∴ Average profit per sales rupee in women's shirt $$=4.66 \% \text { of } ₹ 1=₹\left(\frac{4.66}{100}\right)=₹ 0.0466 .$$
Explanation as extracted from the printed page; notation may be imperfect.