Discount Ques 6
Question
A dealer allowed a discount of $25 \%$ on the marked price of Rs. 12000 on an article and incurred a loss of $10 \%$. What discount should he allow on the marked price so that he gains Rs. 440 on the article?
(1) $11 \%$
(2) $13 \%$
(3) $19 \%$
(4) $15 \%$
(5) None of these
(SBI PO Phase-I (Preliminary) Online Exam. 20.06.2015)
Show Answer
Answer: (2)
Solution: (2)
C.P. of article = Rs. $x$ (let).
$ \begin{aligned} & \therefore \frac{12000 \times 75}{100}=\frac{x \times 90}{100} \\ & \Rightarrow x=\frac{12000 \times 75}{90} = Rs. 10000 \end{aligned} $
Again, profit $=$ Rs. 440
$\therefore$ S.P. $=10000+440$ $=$ Rs. 10440
Discount $=12000-10440$ $=$ Rs. 1560
If discount $=x \%$, then
$ \begin{aligned} & \frac{12000 \times x}{100}=1560 \\ & \Rightarrow x=\frac{1560 \times 100}{12000}=13 \% \end{aligned} $