Question

$\text{If x varies directly with y,}$
$and{x}_1=\frac{1}{5},y_1=\frac{1}{6},x_2=\frac{2}{5},\text{then find the value of}{y}_2.$

• A. $\frac{2}{5}$
• B. $\frac{1}{5}$
• C. $\frac{2}{3}$
• D. $\frac{1}{3}$

Answer 1

The correct option is D $\frac{1}{3}$

Given,
$x_1=\frac{1}{5},y_1=\frac{1}{6},x_2=\frac{2}{5}$

$\text{In case of direct variation}\frac{x_1}{y_1}=\frac{x_2}{y_2}$

$\Rightarrow y_2=\frac{x_2\times y_1}{x_1}$
$\Rightarrow y_2=\frac{\frac{2}{5}\times \frac{1}{6}}{\frac{1}{5}}=\frac{1}{3}$