Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:
By how much above the cost should the goods be marked for sale so that after allowing a trade discount of 20\% and a cash discount of 6 $\frac{1}{4}$ \%, a net gain of 20\% on the cost is made? (A.A.O., 2009)
Answer
Answer (as printed):
Explanation
Let C.P. $=₹ 100$. Then, S.P. $=₹ 120$. Let M.P. be ₹ $x$. Then, $\left(100-6 \frac{1}{4}\right) \%$ of $(100-20) \%$ of $x=120$ $$\begin{aligned} & \Rightarrow \quad 93 \frac{3}{4} \% \text { of } 80 \% \text { of } x=120 \\ & \Rightarrow \quad\left(\frac{375}{4} \times \frac{1}{100} \times \frac{80}{100} x\right)=120 \Rightarrow \frac{3}{4} x=120 \Rightarrow x=\left(\frac{120 \times 4}{3}\right)=160 . \end{aligned}$$ ∴ Marked price = 60\% above C.P.
Explanation as extracted from the printed page; notation may be imperfect.