Subject: General Aptitude · Chapter: Profit and Loss · Exam: 2006 · Marks: · Difficulty:
A shopkeeper gives two successive discounts on an article marked ₹ 450. The first discount given is 10\%. If the customer pays ₹ 344.25 for the article, the second discount given is
(a)10\%
(b)12\%
(c)14\%
(d)15\%
Answer
Answer (as printed): D
Explanation
Let the second discount rate be $x \%$. Then, $(100-x) \%$ of 90\% of $450=344.25$ $$\begin{aligned} & \Rightarrow \quad \frac{100-x}{100} \times \frac{90}{100} \times 450=344.25 \\ & \Rightarrow \quad(100-x)=\left(\frac{34425}{9 \times 45}\right)=85 \Rightarrow x=15 . \end{aligned}$$ ∴ Second discount rate $=15 \%$.
Explanation as extracted from the printed page; notation may be imperfect.