Quantitative Aptitude Ques 2088

Question: If the cost price of an item is two-fifth of its marked price and if it is sold at a discount of 10%, then there will be

Options:

A) 25% profit

B) 40% profit

C) 50% profit

D) 125% profit

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let the marked price of the item be Rs. x. Then, cost price of item $ =Rs\text{.}\frac{2}{5}x $ SP of item $ =\frac{(100-Discountpercent)}{100}\times MP $ Here, discount per cent $ =10 $

$ \Rightarrow $ $ SP=\frac{100-10}{100}\times x=\frac{9x}{10} $

$ \therefore $ Profit per cent $ =\frac{SP-CP}{CP}\times 100 $ % $ =\frac{\frac{9x}{10}-\frac{2x}{5}}{\frac{2}{5}x}\times 100 $ % $ =\frac{( \frac{9-4}{10} )x}{\frac{2}{5}x}\times 100 $ % $ =\frac{5}{10}\times \frac{5}{2}\times 100=125 $ %