Subject: General Aptitude · Chapter: Profit and Loss · Exam: 2005 · Marks: · Difficulty:
Vineet calculates his profit percentage on the selling price whereas Roshan calculates his profit on the cost price. They find that the difference of their profits is ₹ 275. If the selling price of both of them are the same and Vineet gets 25\% profit whereas Roshan gets 15\% profit, find their selling price.
(a)₹ 2100
(b)₹ 2250
(c)₹ 2300
(d)₹ 2350
Answer
Answer (as printed): C
Explanation
Let Roshan's C.P. $=₹ p$.$$\begin{aligned} & \text { Profit }=15 \% \text { of ₹ } p=₹\left(\frac{3}{20} p\right) \\ & \text { S.P. }=₹\left(p+\frac{3}{20} p\right)=₹\left(\frac{23}{20} p\right) \\ & \text { Profit } \% \text { on S.P. }=\left(\frac{3 p}{20} \times \frac{20}{23 p} \times 100\right) \%=\left(\frac{300}{23}\right) \% . \end{aligned}$$ Now, let S.P. of each be ₹ $x$. Then, 25\% of $x-\frac{300}{23}$ \% of $x=275$ $$\Rightarrow \frac{275}{23} x=27500 \Rightarrow x=\left(\frac{27500 \times 23}{275}\right)=2300 .$$
Explanation as extracted from the printed page; notation may be imperfect.