Quantitative Aptitude Ques 524

Question: A dealer marked the price of an item 40% above the cost price. Once he gave successive discounts of 20% and 25% to a particular customer. As a result, he incurred a loss of Rs. 448. At what price did he sell the item to the mentioned customer? [IBPS (SO) IT 2014:

Options:

A) Rs. 2416

B) Rs. 2352

C) Rs. 2268

D) Rs. 2152

E) Rs. 2578

Show Answer

Answer:

Correct Answer: B

Solution:

  • [b] Let the cost price of the item be 100. $ \begin{aligned} & 100\xrightarrow{40%\uparrow }140\xrightarrow{20%,\downarrow }112\xrightarrow{25%\downarrow }84 \\ & \begin{matrix} CP & MP & ,SP \\ \end{matrix} \\ \end{aligned} $
    $ \therefore $ Loss = 16% and Loss = Rs. 448
    $ \therefore $ $ CP=\frac{448\times 100}{16}=Rs.2800 $
    $ \therefore $ $ SP=\frac{2800\times 84}{100}=Rs.2352 $