Quantitative Aptitude Ques 1798

Question: A bought an article and sold it at a gain of 5%. If he had bought it at 5% loss and sold it for Rs. 1 less, he would have made a profit of 10%. The cost price of the article was

Options:

A) Rs. 100

B) Rs. 150

C) Rs. 200

D) Rs. 500

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let original CP be x. Then, $ SP=\frac{(100+5)}{100} $ of $ CP=\frac{21}{20}x $ $ CP=\frac{100-5}{100}x=\frac{19}{20}x $ $ SP=\frac{100+10}{100}\times \frac{19}{20}x=\frac{209x}{200} $

$ \therefore $ $ \frac{21}{20}x-\frac{209x}{200}=1 $
$ \Rightarrow $ $ x=Rs.200 $

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