Quantitative Aptitude Ques 163

Question: A trader sold a pen at a loss of 20%. If he sells the pen at Rs. 12 more he would have gained 10%. The cost price of the pen (in Rs.) is

Options:

A) 60

B) 40

C) 30

D) 22

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let the CP of the pen be x. Then, selling price $ =100\times \frac{(x-20)}{100}=\frac{4x}{5} $ According to the question, $ \frac{4x}{5}+12=x+\frac{10}{100}\times x $

$ \Rightarrow $ $ \frac{4x}{5}\times 12=\frac{11x}{10} $
$ \Rightarrow $ $ 12=\frac{11x}{10}-\frac{4x}{5} $

$ \Rightarrow $ $ 12=\frac{11x-8x}{10} $
$ \Rightarrow $ $ \frac{120}{3}=x $

$ \Rightarrow $ $ x=Rs.,40 $