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} $