Quantitative Aptitude Ques 56

Question: A man sold his watch at a loss of 5%. Had he sold it for Rs. 56.25 more, he would have gained 10%. What is the cost price of the watch (in Rs.)?

Options:

A) 370

B) 365

C) 375

D) 390

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let CP of the watch be Rs. x. According to the question, $ \frac{x\times (100+10)}{100}-\frac{x\times (100-5)}{100}=56.25 $

$ \Rightarrow $ $ \frac{110x}{100}-\frac{95x}{100}=56.25 $
$ \Rightarrow $ $ \frac{15x}{100}=56.25 $

$ \Rightarrow $ $ x=\frac{56.25\times 100}{15}=\frac{5625}{15} $

$ \Rightarrow $ $ x=Rs.,375 $