Quantitative Aptitude Ques 2432
Question: If the cost price of 16 pens is equal to the selling price of 12 pens, then the gain or loss per cent is
Options:
A) $ 33\frac{1}{3}%,gain $
B) 25% gain
C) 25% loss
D) $ 33\frac{1}{3}%loss $
Show Answer
Answer:
Correct Answer: A
Solution:
- Given, $ \sqrt{{{(x-a)}^{2}}+{{(y-0)}^{2}}}=a+x $
$ \Rightarrow $ $ {{(x-a)}^{2}}+y^{2}={{(a+x)}^{2}} $
$ \Rightarrow $ $ x^{2}-2ax+a^{2}+y^{2}=a^{2}+2ax+x^{2} $
$ \Rightarrow $ $ x^{2}+a^{2}+y^{2}-a^{2}-x^{2}=2ax+2ax $
$ \therefore $ $ y^{2}=4ax $