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 $