Discount Ques 11

Question

The marked price of A is Rs. 1600 more than its cost price. When discount on A is Rs. 500, a profit of $25 \%$ is obtained. At what price should A be sold to obtain a $30 \%$ profit?

(1) Rs. 4800

(2) Rs. 5600

(3) Rs. 5400

(4) Rs. 5200

(5) Rs. 5720

(IBPS Bank PO/MT CWE-VII (Prelim Exam) 15.10.2017)

Show Answer

Answer: (5)

Solution: (5)

Let the C. P. of article be Rs. $x$.

$\therefore$ Marked price of article A $=$ Rs. $(x+1600)$

S. P. of article A $=$ Rs. $(x+1100)$

According to the question,

$\frac{x \times 125}{100}=x+1100$

$\Rightarrow \frac{5 x}{4}-x=1100$

$\Rightarrow \frac{x}{4}=1100$

$\Rightarrow x=$ Rs. 4400

To gain $30 \%$,

Required S. P. of article A $=$ Rs. $\left(\frac{4400 \times 130}{100}\right)$ $=$ Rs. 5720