Subject: General Aptitude · Chapter: Profit and Loss · Exam: 2004 · Marks: · Difficulty:
A trader marked his goods at 20\% above the cost price. He sold half the stock at the marked price, one quarter at a discount of 20\% on the marked price and the rest at a discount of 40\% on the marked price. His total gain is
(a)2\%
(b)4.5\%
(c)13.5\%
(d)15\%
Answer
Answer (as printed): A
Explanation
Let C.P. of whole stock $=₹ 100$. Then, Marked Price of whole stock $=₹ 120$. $$\text { M.P. of } \frac{1}{2} \text { stock }=₹ 60, \text { M.P. of } \frac{1}{4} \text { stock }=₹ 30 . \begin{aligned} & \therefore \quad \text { Total S.P. }=₹[60+(80 \% \text { of } 30)+(60 \% \text { of } 30)] \\ & \quad=₹(60+24+18)=₹ 102 . \end{aligned}$$ Hence, gain\% $=(102-100) \%=2 \%$.
Explanation as extracted from the printed page; notation may be imperfect.