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The price of commodity X increases 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 ?

2010
2011
2012
2013
Explanation:

Suppose commodity X will cost 40 paise more than Y after $ z $ years.

Then, [4.20 + 0.40$z$]- [6.30 + 0.15$ z $] = 0.40

$\Rightarrow$ 0.25$ z $ = 0.40 + 2.10

$\Rightarrow z $ =$ \dfrac{2.50}{0.25} $=$ \dfrac{250}{25} $= 10.

$\therefore$ X will cost 40 paise more than Y 10 years after 2001 i.e., 2011.

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