Quantitative Aptitude Ques 1625

Question: The price of commodity X increase by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y?

Options:

A) 2010

B) 2011

C) 2012

D) 2013

Show Answer

Answer:

Correct Answer: B

Solution:

  • [b] Suppose commodity X will cost 40 paise more than Y after z yr. Then, $ (4.20+0.40z)-(6.30+0.15z)=0.40 $
    $ \Rightarrow $ $ 0.25z=0.40+2.10 $
    $ \Rightarrow $ $ z=\frac{2.50}{0.25}=\frac{250}{25}=10 $
    $ \therefore $ X will cost 40 paise more than Y, 10 yr after 2001 i.e. in 2011.
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