Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:
The cost of manufacturing an article rose by 18\% as a result of the increase in the cost of raw material. A manufacturer revised the selling price of the article so as to maintain the same profit percentage as before. However, he found that he now got ₹ 9 more than the earlier profit by selling each article. What was the earlier profit per article?
(a)₹ 36
(b)₹ 45
(c)₹ 50
(d)₹ 54
Answer
Answer (as printed): C
Explanation
Let original C.P. be ₹ 100 and original S.P. be ₹ $x$. Profit $=₹(x-100)$. Profit $\%=(x-100) \%$. New C.P. $=₹ 118$. New profit $=(x-100) \%$ of $₹ 118=₹\left[\frac{59}{50}(x-100)\right]$. $$\begin{aligned} & \therefore \quad \frac{59}{50}(x-100)-(x-100)=9 \Rightarrow \frac{9}{50}(x-100)=9 \\ & \Rightarrow \quad x-100=50 \end{aligned}$$ Hence, earlier profit per article $=₹ 50$.
Explanation as extracted from the printed page; notation may be imperfect.