In the expression xy^{^²}, the values of x and y are each decreased by 25%. The value of the expression is decreased by

$\frac{37}{64}$ of its value

$\frac{1}{2}$ of its value

$\frac{27}{64}$ of its value

$\frac{3}{4}$ of its value

Answer : Option A

Explanation :

Expression = xy^{^²} Case II, Expression

=\left(\frac{75}{100}\right) x \cdot\left(\frac{75}{100}\right)^{2} y^{2}=\left(\frac{3}{4}\right)^{3} \cdot x y^{2}

=\frac{27}{64} x y^{2}

Required answer

=\left(1-\frac{27}{64}\right) x y^{2}=\frac{37}{64} x y^{2}

Alternative: Fraction of

25 \%=\frac{25}{100}=\frac{1}{4}

Required answer $=\frac{37}{64}$

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