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 ?
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.