The marked price of a watch was ₹ 820. A man bought the same for ₹ 570.72 after getting two successive… · ABC26GN2818
Subject: General Aptitude · Chapter: Profit and Loss · Exam: S.S.C. 2008
The marked price of a watch was ₹ 820. A man bought the same for ₹ 570.72 after getting two successive discounts of which the first was 20\%. The rate of second discount was
(a)12\%
(b)13\%
(c)15\%
(d)18\%
Answer
Answer (as printed): B
Explanation
Let the second discount rate be $x \%$. Then, $(100-x) \%$ of $80 \%$ of $820=570.72$ $$\begin{aligned} & \Rightarrow \quad \frac{(100-x)}{100} \times \frac{80}{100} \times 820=570.72 \\ & \Rightarrow \quad(100-x)=\left(\frac{57072}{8 \times 82}\right)=87 \Rightarrow x=13 . \end{aligned}$$ ∴ Second discount rate $=13 \%$.
Explanation as extracted from the printed page; notation may be imperfect.