RRB ALP 2013 Ques 83
Question: The percentage of loss when an article is sold at Rs. 50 is the same as that of the profit when it is sold at Rs. 70. The above- mentioned percentage of profit or loss on the article is:
Options:
A) $ 10% $
B) $ 16\frac{2}{3}% $
C) $ 20% $
D) $ 22\frac{2}{3}% $
Show Answer
Answer:
Correct Answer: B
Solution:
- Let percentage of profit or loss in on the article be $ x $ $ \because $ $ \frac{50\times 100}{100-x}=\frac{70\times 100}{100+x} $
$ \Rightarrow $ $ 5000(100+x)=7000(100-x) $
$ \Rightarrow $ $ 500+5x=700-7x $
$ \Rightarrow $ $ 12x=200 $
$ \therefore $ $ x=\frac{200}{12}=16\frac{2}{3}% $
BETA
