Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:
A grocer purchases three qualities of lemons at different rates. The first quality was purchased at 2 for ₹ 1 , the second at 3 for ₹ 2 and the third at 4 for ₹ 3. He sold all the lemons at 5 for ₹ 4. If the ratio of the number of lemons of the three qualities is $1: 2: 3$, then what is the approximate gain or loss percentage incurred by the grocer?
(a)2.65\% loss
(b)17.56\% loss
(c)17.56\% gain
(d)18.65\% gain
(e)None of these
Answer
Answer (as printed): C
Explanation
L.C.M. of 2, 3, 4, $5=60$. Suppose the grocer purchased $(60 \times 1),(60 \times 2),(60 \times 3)$ lemons i.e., 60, 120 and 180 lemons of first, second and third qualities respectively. Then, C.P. of 60 lemons of first quality $=₹\left(\frac{1}{2} \times 60\right)=₹ 30$. C.P. of 120 lemons of second quality $=₹\left(\frac{2}{3} \times 120\right)=₹ 80$. C.P. of 180 lemons of third quality $=₹\left(\frac{3}{4} \times 180\right)=₹ 135$. Total C.P. of $(60+120+180)$ i.e., 360 lemons $=₹(30+$ $80+135)=₹ 245$. S.P. of 360 lemons $=₹\left(\frac{4}{5} \times 360\right)=₹ 288$. Gain $=₹(288-245)=₹ 43$. ∴ Gain\% $=\left(\frac{43}{245} \times 100\right) \%=17.56 \%$.
Explanation as extracted from the printed page; notation may be imperfect.