Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:
A dealer sold an article at a loss of $2 \frac{1}{2} \%$. Had he sold it for ₹ 100 more, he would have gained $7 \frac{1}{2} \%$. To gain $12 \frac{1}{2} \%$, he should sell it for
(a)₹ 850
(b)₹ 925
(c)₹ 1080
(d)₹ 1125
Answer
Answer (as printed): D
Explanation
Let C.P. be ₹ $x$. Then, $\left(107 \frac{1}{2} \%\right.$ of $\left.x\right)-\left(97 \frac{1}{2} \%\right.$ of $\left.x\right)=100$ $$\begin{aligned} & \Rightarrow 10 \% \text { of } x=100 \Rightarrow x=1000 . \\ & \therefore \text { Desired S.P. }=112 \frac{1}{2} \% \text { of ₹ } 1000 \\ & =₹\left(\frac{225}{2} \times \frac{1}{100} \times 1000\right)=₹ 1125 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.