Quantitative Aptitude Ques 967

Question: A businessman sells a commodity at 10% profit. If he had bought it at 10% less and sold it for Rs. 2 less, then he would have gained $ 16\frac{2}{3} $ %. The cost price of the commodity is

Options:

A) Rs. 32

B) Rs. 36

C) Rs. 40

D) Rs. 48

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the first CP of the commodity be Rs. 100.

$ \therefore $ First SP = Rs. 110 Second CP = Rs. 90 $ Profit=\frac{50}{3} $ %

$ \therefore $ Second SP $ =( 100+\frac{50}{3} ) $ % of 90 $ =90\times \frac{350}{300}=Rs\text{.}105 $ Difference of SP $ =Rs\text{.}\text{(110}-\text{105)}=Rs\text{.}5 $

$ \therefore $ If the difference is Rs. 5, then the CP = Rs. 100

$ \Rightarrow $ If the difference is 7 2, then the CP $ =\frac{100}{5}\times 2=Rs\text{.}40 $