A person buys certain number of marbles at 20 per rupee and an equal number at 30 per rupee. He mixes them… · ABC26GN2672
Subject: General Aptitude · Chapter: Profit and Loss · Exam: S.S.C. 2005
A person buys certain number of marbles at 20 per rupee and an equal number at 30 per rupee. He mixes them and sells them at 25 per rupee. His gain or loss in the transaction is
(a)2\% loss
(b)2\% gain
(c)4\% loss
(d)4\% gain
Answer
Answer (as printed): C
Explanation
Suppose number of marbles bought of each kind = L.C.M. of $20,30,25=300$. $$\begin{aligned} & \text { C.P. of } 600 \text { marbles }=₹\left(\frac{1}{20} \times 300+\frac{1}{30} \times 300\right)=₹ 25 . \\ & \text { S.P. of } 600 \text { marbles }=₹\left(\frac{1}{25} \times 600\right)=₹ 24 . \\ & \therefore \text { Loss } \%=\left(\frac{1}{25} \times 100\right) \%=4 \% \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.