Subject: General Aptitude · Chapter: Profit and Loss · Exam: 2007 · Marks: · Difficulty:
Two-thirds of a consignment was sold at a profit of $6 \%$ and the rest at a loss of $3 \%$. If however there was an overall profit of ₹ 540, the value of consignment was
(a)₹ 15000
(b)₹ 16000
(c)₹ 18000
(d)None of these
Answer
Answer (as printed): C
Explanation
Let the total value be ₹ $x$. Value of $\frac{2}{3} \mathrm{rd}=₹ \frac{2 x}{3}$, Value of $\frac{1}{3} \mathrm{rd}=₹ \frac{x}{3}$. $$\begin{aligned} \text { Total S.P. } & =₹\left[\left(106 \% \text { of } \frac{2 x}{3}\right)+\left(97 \% \text { of } \frac{x}{3}\right)\right] \\ & =₹\left(\frac{53 x}{75}+\frac{97 x}{300}\right)=₹\left(\frac{309 x}{300}\right) . \\ \therefore \frac{309 x}{300}-x & =540 \Rightarrow \frac{9 x}{300}=540 \Rightarrow x=\left(\frac{540 \times 300}{9}\right)=18000 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.