Question

In the expression $x{y}^2$, the values of $x$ and $y$ are each decreased $25$%; the value of the expression is

• A. Decreased $50$%
• B. Decreased $75$%
• C. Decreased $37/64$ of its value
• D. Decreased $77/64$ of its value
• E. None of these

Answer 1

Answer: (C)

Decreased $37/64$ of its value

$\frac{3}{4}x.{\left(\frac{3}{4}y\right)}^2=\frac{27}{64}x{y}^2$, and the decrease is $x{y}^2-\frac{27}{64}x{y}^2=\frac{37}{64}x{y}^2$.