The marked price of an article is ₹ 2400. The shopkeeper gives successive discounts of $x \%$ and 15\% to the customer. If the customer pays ₹ 1876.8 for the article, find the value of $x$. [DMRC-Customer Relation Assistant (CRA) Exam, 2016]
(a)9\%
(b)8\%
(c)12\%
(d)11\%
Answer
Answer (as printed): B
Explanation
Marked price of an article $=₹ 2400$ According to given information $$\begin{aligned} & 2400 \times(100-x) \% \text { of } 8 \\ & \Rightarrow 2400 \times \frac{100-x}{100} \times \frac{85}{100} \\ & \quad=1876.80 \end{aligned} \begin{aligned} & \Rightarrow(100-x)=92 \\ & \Rightarrow x=100-92=8 \% \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.