Profit And Loss Ques 14
Question.
‘A’ sold an article for Rs. 8000 and incurred a loss. Had he sold the article for Rs. 9800 , his gain would have been twice the amount of loss. At what price should the article be sold to earn $20 \%$ profit?
(1) Rs. 10,840
(2) Rs. 9,820
(3) Rs. 10,320
(4) Rs. 9,840
(5) Rs. 10,480
(IBPS Bank PO/MT CWE-V (Preliminary) 04.10.2015)
Show Answer
Correct Answer: (3)
Solution: (3)
Loss $=$ Rs. $x$ (let)
$\therefore \quad$ Profit $=$ Rs. $2 x$
According to the question,
C.P of article $=$ Rs. $(8000+x)$
or, Rs. $(9800-2 x)$
$\therefore 8000+x=9800-2 x$
$\Rightarrow 2 x+x=9800-8000$
$\Rightarrow 3 x=1800$
$\Rightarrow x=\frac{1800}{3}=$ Rs. 600
$\therefore$ C.P. of article $=$ Rs. $(8000+600)=$ Rs. 8600
For a profit of $20 \%$,
S.P of article $=\frac{8600 \times 120}{100}$ = Rs. 10320