Subject: General Aptitude · Chapter: Profit and Loss · Exam: 2010 · Marks: · Difficulty:
If on a marked price, the difference of selling prices with a discount of $30 \%$ and two successive discounts of 20\% and 10\% is ₹ 72, then the marked price (in ₹) is
(a)2400
(b)2500
(c)3000
(d)3600
Answer
Answer (as printed): D
Explanation
Let the M.P. be ₹ $x$. Then, (90\% of 80\% of $x$ ) - (70\% of $x$ ) = 72 $$\begin{aligned} & \Rightarrow\left(\frac{90}{100} \times \frac{80}{100} \times x\right)-\left(\frac{70}{100} \times x\right)=72 \\ & \Rightarrow \frac{72}{100} x-\frac{70}{100} x=72 \Rightarrow \frac{2}{100} x=72 \\ & \Rightarrow x=\left(\frac{72 \times 100}{2}\right)=3600 \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.