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