Quantitative Aptitude Ques 185

Question: If a commission of 10% is given on the written price of an article, the gain is 20%. The gain per cent, when the commission is increased to 20%, will be

Options:

A) $ 6\frac{2}{3} $ %

B) 5%

C) 8%

D) $ 5\frac{1}{3} $ %

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let MP of the article be Rs. x.

$ \therefore $ SP of the article $ =\frac{x\times (100-10)}{100}=Rs.\frac{9x}{10} $

$ \Rightarrow $ CP of the article $ =\frac{9x}{10}\times \frac{100}{100+20} $ $ =\frac{9x\times 10}{120}=Rs.\frac{3x}{4} $ Now, new SP of the article $ =\frac{x\times (100-20)}{100}=Rs.\frac{4x}{5} $

$ \Rightarrow $ New profit $ =( \frac{4x}{5}-\frac{3x}{4} )=\frac{16x-15x}{20}=Rs.\frac{x}{20} $ Hence, profit per cent $ =\frac{\frac{x}{20}}{\frac{3x}{4}}\times 100% $ $ =\frac{4\times 100}{3\times 20}%=6\frac{2}{3} $ %