Profit And Loss Ques 12
Question.
An item was bought at Rs. $X$ and sold at Rs. Y, there by earning a profit of $20 \%$. Had the value of X been $15 \%$ less and the value of $Y$ been Rs. 76 less, a profit of $30 \%$ would have been earned. What was the value of ’ $X$ '
(1) Rs. 640
(2) Rs. 400
(3) Rs. 600
(4) Rs. 800
(5) Rs. 840
(IBPS RRBs Officer Scale-I & II CWE 12.09.2015)
Show Answer
Correct Answer: (4)
Solution: (4)
C.P. of article $=\frac{120 x}{100}=$ Rs. $\frac{6 x}{5}=$ Rs. $y$
Case II,
C.P. $=\frac{85 x}{100}=$ Rs. $\frac{17 x}{20}$
S.P. $=y-76$ $=$ Rs. $\left(\frac{6 x}{5}-76\right)$
According to the question,
$ \begin{aligned} & \frac{6 x}{5}-76=\frac{17 x}{20} \times \frac{130}{100}=\frac{221 x}{200} \\ & \Rightarrow \frac{6 x}{5}-\frac{221 x}{200}=76 \\ & \Rightarrow \frac{240 x-221 x}{200}=76 \Rightarrow \frac{19 x}{200}=76 \\ & \Rightarrow x=\frac{76 \times 200}{19}=\text { Rs. } 800 \end{aligned} $
BETA
