Quantitative Aptitude Ques 638

Question: A shopkeeper allows 23% commission on his advertised price and still makes a profit of 10%. If he gains Rs. 56 on one item his advertised price of the item (Rs.) is

Options:

A) 820

B) 780

C) 790

D) 800

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let the advertised price of item be Rs. x. Commission $ =\frac{x\times 23}{100} $

$ \Rightarrow $ Price after commission $ =x-\frac{23x}{100}=\frac{77x}{100} $ of the item $ =\frac{77x}{100}\times \frac{100}{100+10}=\frac{77x}{110}=\frac{7x}{100} $

$ \Rightarrow $ Profit $ =\frac{77x}{100}-\frac{7x}{10}=\frac{7x}{100} $
$ \Rightarrow $ $ 56=\frac{7x}{100} $

$ \Rightarrow $ $ x=Rs\text{.}800 $