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 $