Question
The price of commodity X increases by 40 paise every year, while the price of commodityY 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 ?
Answer: Option B
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Suppose commodity X will cost 40 paise more than Y after z years.
Then, (4.20 + 0.40z) - (6.30 + 0.15z) = 0.40
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 years after 2001 i.e., 2011.
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