Question

If 1 : x :: y : 2 Which of the following statements is true ?

• A. $\frac{x}{y}=2$
• B. $\frac{y}{x}=2$
• C. $xy=2$
• D. $xy=4$

Answer 1

The correct option is C $xy=2$

If two ratios are in proportion, they are equal

$\therefore$ $\frac{1}{x}=\frac{y}{2}$

Multiplying both sides with 2

$\Rightarrow$ $\frac{2}{x}=\frac{y}{1}$

Multiplying both sides with x

$\Rightarrow$ $2=xy$ $\Rightarrow$ $xy=2$

Thus, (c) is the required answer