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In the expression x2 y the values of both x and y are decreased by 10%. Due to this, the value of the expression is decreased by 
  • a)
    27.1% 
  • b)
    28% 
  • c)
    25.7% 
  • d)
    26.5% 
Correct answer is option 'A'. Can you explain this answer?
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In the expression x2ythe values of both x and y are decreased by 10%. ...
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In the expression x2ythe values of both x and y are decreased by 10%. ...
Explanation:

Given:
- Expression: x^2y
- Decrease in x and y: 10%

Steps to solve:

Step 1: Calculate the percentage decrease in the expression when x and y are decreased by 10%.
- Let the original values of x and y be a and b respectively.
- New values of x and y after a 10% decrease: 0.9a and 0.9b
- New expression: (0.9a)^2 * 0.9b = 0.81a^2 * 0.9b = 0.729a^2b

Step 2: Calculate the percentage decrease in the expression.
- Original expression: x^2y = ab
- Decreased expression: 0.729a^2b
- Percentage decrease = ((ab - 0.729a^2b) / ab) * 100%
- Percentage decrease = ((1 - 0.729) * 100%)
- Percentage decrease = 27.1%
Therefore, the value of the expression is decreased by 27.1% when both x and y are decreased by 10%. Option A is the correct answer.
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In the expression x2ythe values of both x and y are decreased by 10%. Due to this, the value of the expression is decreased bya)27.1%b)28%c)25.7%d)26.5%Correct answer is option 'A'. Can you explain this answer?
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