Profit And Loss Ques 38

Question.

The cost price of item B is Rs. 200 more than cost price of item A. When item $A$ is sold at a profit of $x \%$, its selling price is Rs. 702 . When item $A$ is sold at a profit of $(x+16) \%$, its selling price is Rs. 806. What would be the selling price of item $B$ if it is sold at a profit of $20 \%$ ?

(1) Rs. 960

(2) Rs. 1080

(3) Rs. 1020

(4) Rs. 900

(5) Rs. 1040

(IBPS Bank PO/MT CWE-VII (Prelim Exam) 14.10.2017)

Show Answer

Correct Answer: (3)

Solution: (3)

Let the C.P. of article A be Rs. $y$.

According to the question,

$16 \%$ of $y=$ Rs. (806 - 702)

$\Rightarrow y \times \frac{16}{100}=$ Rs. 104

$\Rightarrow y=\operatorname{Rs} .\left(\frac{104 \times 100}{16}\right)$ $=$ Rs. 650

$\therefore \quad$ C.P. of article $B$ = Rs. $(650+200)$ $=$ Rs. 850

$\therefore$ To gain $20 \%$,

S.P. of article B $=$ Rs. $\left(\frac{850 \times 120}{100}\right)$ $=$ Rs. 1020