Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:
A man bought goods worth ₹ 6000 and sold half of them at a gain of 10\%. At what gain percent must he sell the remainder so as to get a gain of 25\% on the whole?
(a)25\%
(b)30\%
(c)35\%
(d)40\%
Answer
Answer (as printed): D
Explanation
Let the required gain percent be $x \%$. Then, $(110 \%$ of 3000$)+[(100+x) \%$ of 3000$]$ $$=125 \% \text { of } 6000 \begin{aligned} & \Rightarrow\left(\frac{110}{100} \times 3000\right)+\left[\frac{(100+x)}{100} \times 3000\right]=\frac{125}{100} \times 6000 \\ & \Rightarrow 30(100+x)=4200 \Rightarrow 100+x=140 \Rightarrow x=40 \% \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.