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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 ₹ 4.20 and that of Y was ₹ 6.30, in which year commodity X will cost 40 paise more than the commodity?
- a)2012
- b)2011
- c)2013
- d)2010
Correct answer is option 'B'. Can you explain this answer?
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 = 250/25
=10
Therefore X will cost 40 paise more than Y 10 years after 2001.
i.e in 2011
Most Upvoted Answer
The price of commodity X increases by 40 paise every year, while the p...
Given information:
- The price of commodity X increases by 40 paise every year.
- The price of commodity Y increases by 15 paise every year.
- In 2001, the price of commodity X was 4.20 and that of Y was 6.30.
Objective:
To determine the year in which commodity X will cost 40 paise more than commodity Y.
1. Calculate the difference in prices between commodity X and Y in 2001.
2. Determine the number of years required for commodity X to cost 40 paise more than commodity Y.
3. Add the calculated number of years to 2001 to find the year in which commodity X will cost 40 paise more than commodity Y.
The difference in prices between commodity X and Y in 2001: 6.30 - 4.20 = 2.10
Let's assume 'n' is the number of years required for commodity X to cost 40 paise more than commodity Y.
Price increase for X in 'n' years: 40n paise
Price increase for Y in 'n' years: 15n paise
According to the given information, the difference in prices between commodity X and Y in 'n' years will be 40 paise.
Equation: 2.10 + (40n - 15n) = 40
Simplifying the equation: 2.10 + 25n = 40
25n = 40 - 2.10
25n = 37.90
n = 37.90 / 25
n ≈ 1.516
Therefore, it will take approximately 1.516 years for commodity X to cost 40 paise more than commodity Y.
Adding 1.516 years to 2001, we get:
2001 + 1.516 = 2002.516
Since the question asks for the year, we round up the decimal value to the nearest year.
Therefore, commodity X will cost 40 paise more than commodity Y in the year 2003.
Conclusion:
Commodity X will cost 40 paise more than commodity Y in the year 2003.
- The price of commodity X increases by 40 paise every year.
- The price of commodity Y increases by 15 paise every year.
- In 2001, the price of commodity X was 4.20 and that of Y was 6.30.
Objective:
To determine the year in which commodity X will cost 40 paise more than commodity Y.
Approach:
1. Calculate the difference in prices between commodity X and Y in 2001.
2. Determine the number of years required for commodity X to cost 40 paise more than commodity Y.
3. Add the calculated number of years to 2001 to find the year in which commodity X will cost 40 paise more than commodity Y.
Calculation:
The difference in prices between commodity X and Y in 2001: 6.30 - 4.20 = 2.10
Let's assume 'n' is the number of years required for commodity X to cost 40 paise more than commodity Y.
Price increase for X in 'n' years: 40n paise
Price increase for Y in 'n' years: 15n paise
According to the given information, the difference in prices between commodity X and Y in 'n' years will be 40 paise.
Equation: 2.10 + (40n - 15n) = 40
Simplifying the equation: 2.10 + 25n = 40
25n = 40 - 2.10
25n = 37.90
n = 37.90 / 25
n ≈ 1.516
Therefore, it will take approximately 1.516 years for commodity X to cost 40 paise more than commodity Y.
Year:
Adding 1.516 years to 2001, we get:
2001 + 1.516 = 2002.516
Since the question asks for the year, we round up the decimal value to the nearest year.
Therefore, commodity X will cost 40 paise more than commodity Y in the year 2003.
Conclusion:
Commodity X will cost 40 paise more than commodity Y in the year 2003.
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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 4.20 and that of Y was 6.30, in which year commodity X will cost 40 paise more than the commodity?a)2012b)2011c)2013d)2010Correct answer is option 'B'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about 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 4.20 and that of Y was 6.30, in which year commodity X will cost 40 paise more than the commodity?a)2012b)2011c)2013d)2010Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 4.20 and that of Y was 6.30, in which year commodity X will cost 40 paise more than the commodity?a)2012b)2011c)2013d)2010Correct answer is option 'B'. Can you explain this answer?.
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