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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` ?


Options:
A .  2010
B .  2011
C .  2012
D .  2013
Answer: Option B

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

`hArr`   0.25`z` = 0.40 + 2.10  `hArr`   `z`  = `2.50/0.25`  = `250/25` = 10

`:.`   `x` will cost 40 paise more than `y` 10 years afer 2001  i.e., in 2011



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