Discount Ques 9
Question
A trader marks up his goods such that he can gain $5 \%$ profit after giving $20 \%$ discount to his customers. One particular customer availed a discount of $10 \%$ only. If the profit earned by trader from this customer is Rs. 58, what is the cost price of the goods?
(1) Rs. 480
(2) Rs. 400
(3) Rs. 240
(4) Rs. 160
(5) Rs. 320
(IBPS SO (IT Officer) CWE
(Prelim Exam) 30.12.2017)
Show Answer
Answer: (5)
Solution: (5)
C.P. of article $=$ Rs. $x$ and its marked price $=$ Rs. $y$
Case I,
$ \begin{aligned} & y \times \frac{80}{100}=\frac{105 x}{100} \\ & \Rightarrow 80 y=105 x \\ & \Rightarrow 16 y=21 x \ldots . .(i) \\ & \text { Case II, } \end{aligned} $
$y \times \frac{90}{100}=x+58$
$\Rightarrow 9 y=10 x+580$
$\Rightarrow \frac{21 \times 9 x}{16}=10 x+580$
[From equation (i)]
$\Rightarrow 189 x=160 x+580 \times 16$
$\Rightarrow 189 x-160 x=580 \times 16$
$\Rightarrow 29 x=580 \times 16$
$\Rightarrow x=\frac{580 \times 16}{29}=$ Rs. 320
BETA
