Quantitative Aptitude Ques 270

Question: An item was bought at Rs. X and sold at Y, thereby earning a profit of 20%. Had the value of X been 15% less and the value of Y been Rs. 76 less, a profit of 30% would have been earned. What was the value of X?

Options:

A) Rs. 640

B) Rs. 400

C) Rs. 600

D) Rs. 800

E) Rs. 840

Show Answer

Answer:

Correct Answer: D

Solution:

  • Given, the CP of an item be Rs. x and SP of an item be Rs. y. Here, Y = 1.2 x If the CP of an item is 15% less = 85% of X = 0.85 X According to the question, $ 0.85X\times \frac{130}{100}=1.2x-76 $ $ 11.05X=12X-760 $
    $ \Rightarrow $ $ 12X-11.05X=760 $

$ \Rightarrow $ $ 0.95X=760 $

$ \Rightarrow $ $ X=\frac{760}{0.95} $

$ \Rightarrow $ $ X=800 $ So, CP of an item is Rs. 800.