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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?

Correct Answer: 2011

Explanation:

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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