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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 ?
  • a)
    2010
  • b)
    2011
  • c)
    2012
  • d)
    2013
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The price of commodity X increases by 40 paise every year, while the p...
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 / 0.25) = 10
∴ X will cost 40 paise more than Y 10 years after 2001 i.e in 2011.
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Most Upvoted Answer
The price of commodity X increases by 40 paise every year, while the p...
Given data:
- Price of commodity X increases by 40 paise every year.
- Price of commodity Y increases by 15 paise every year.
- In 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30.

To find: In which year commodity X will cost 40 paise more than commodity Y.

Solution:
Let the required year be n years after 2001.
- The price of commodity X after n years = Rs. 4.20 + 0.40n.
- The price of commodity Y after n years = Rs. 6.30 + 0.15n.

We have to find the value of n for which commodity X costs 40 paise more than commodity Y.
- Rs. 4.20 + 0.40n = Rs. 6.30 + 0.15n + 0.40 (as the price of X is 40 paise more than Y)
- 0.40n - 0.15n = Rs. 6.30 - Rs. 4.20 + 0.40
- 0.25n = Rs. 2.50 + 0.40
- 0.25n = Rs. 2.90
- n = 11.6

Therefore, commodity X will cost 40 paise more than commodity Y in the year 2001 + 11.6 years = 2012 (approx).

Hence, the correct answer is option (b) 2011.
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Community Answer
The price of commodity X increases by 40 paise every year, while the p...
Suppose commodity X wil 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= 2.50/0.25 = 10

Therefore, X will cost 40 paise more than Y 10 years after 2001 . i.e in 2011
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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 ?a)2010b)2011c)2012d)2013Correct answer is option 'B'. Can you explain this answer?
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