### The selling price of an article after giving two successive discounts of 10% and 5% on the marked price is Rs. 171. What is the marked price?

A. Rs. 200 B. Rs. 220 C. Rs. 240 D. Rs. 250 Answer: Option A
Equivalent Discount, $\begin{array}{l}=(\mathrm{A}+\mathrm{B})-\frac{\mathrm{AB}}{100}\\ =(10+5)-\frac{10\times5}{100}\\ =14.5\%\end{array}$ Let MP = X Now, X – 14.5% of X = 171(Selling Price) 0.855X = 171 X = 200 Hence, MP = Rs. 200 Through options, 200(MP) == 10%(disc.) ⇒ 180 == 5%(disc.) ⇒ 171(CP)