ABC26GN2727 · Profit and Loss
Subject: General Aptitude · Chapter: Profit and Loss · Exam: 2009 · Marks: · Difficulty:
A clock was sold for ₹ 144 . If the percentage of profit was numerically equal to the cost price, the cost of the clock was
(a)₹ 72
(b)₹ 80
(c)₹ 90
(d)₹ 100
Answer
Explanation
Let C.P. $=₹ x$, Profit $\%=x \%$ and S.P. $=₹ 144$. $$\begin{aligned} & \therefore x=\left[\frac{100}{(100+x)} \times 144\right] \Rightarrow x^{2}+100 x=14400 \\ & \Rightarrow x^{2}+100 x-14400=0 \\ & \Rightarrow x^{2}+180 x-80 x-14400=0 \\ & \Rightarrow(x+180)(x-80)=0 \Rightarrow x=80 \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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