Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
A man sells 3 types of articles at 10\%, 20\% and 30\% profit respectively. If the ratio of the cost ofthe articles is 1 : 2 : 3 and the ratio of the number of articles of each type sold is 3 : 2 : 1, then what is his net profit?
(a)18\%
(b)20\%
(c)24\%
(d)25\%
Answer
Answer (as printed): B
Explanation
Let the C.P. of the articles be ₹ $x$, ₹ $2 x$ and ₹ $3 x$ respectively and the number of articles of each type sold be $3 y, 2 y$ and $y$ respectively. Then, Total C.P. $=₹(x \times 3 y+2 x \times 2 y+3 x \times y)=₹(10 x y)$. Total S.P. $=₹\left(\frac{110}{100} \times x \times 3 y+\frac{120}{100} \times 2 x \times 2 y+\frac{130}{100} \times 3 x \times y\right)$ $=₹\left(\frac{33 x y}{10}+\frac{48 x y}{10}+\frac{39 x y}{10}\right)=₹(12 x y)$. ∴ Net gain $\%=\left(\frac{2 x y}{10 x y} \times 100\right) \%=20 \%$.
Explanation as extracted from the printed page; notation may be imperfect.