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} $ %
BETA
