Question
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 Xwas 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
 - 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
z = 2.50 = 250 = 10. 0.25 25
X will cost 40 paise more than Y 10 years after 2001 i.e., 2011.
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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
z = 2.50 = 250 = 10. 0.25 25
X will cost 40 paise more than Y 10 years after 2001 i.e., 2011.
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