Two-thirds of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit… · ABC26GN2583
Subject: General Aptitude · Chapter: Profit and Loss · Exam: M.A.T. 2009
Two-thirds of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was ₹ 400, find the value of the consignment.
Answer
No answer key was printed for this question.
Explanation
Let the value of the consignment be ₹ $x$. C.P. of $\frac{2}{3}$rd $=₹ \frac{2x}{3}$; C.P. of $\frac{1}{3}$rd $=₹ \frac{x}{3}$. Total S.P. $=₹\left[\left(105\% \text{ of } \frac{2x}{3}\right)+\left(98\% \text{ of } \frac{x}{3}\right)\right]=₹\left(\frac{7x}{10}+\frac{49x}{150}\right)=₹\left(\frac{154x}{150}\right)=₹\left(\frac{77x}{75}\right)$. Gain $=₹\left(\frac{77x}{75}-x\right)=₹\frac{2x}{75}$. $\therefore \frac{2x}{75}=400 \Rightarrow x=\left(\frac{400\times75}{2}\right)=15000$. Hence, value of the consignment $=₹15000$.
Explanation as extracted from the printed page; notation may be imperfect.