Question

Solve for $x$, if $\frac{0.25x-0.025}{0.125}=\frac{2x-0.45}{1.25}+0.6$.

• A. $11$
• B. $22$
• C. $1.1$
• D. $2.2$

Answer 1

Answer: (C)

$1.1$

Given,

$\frac{0.25x-0.025}{0.125}=\frac{2x-0.45}{1.25}+0.6$

$⟹$ $\frac{\left(25x/100\right)-\left(25/1000\right)}{125/1000}=\frac{2x-\left(45/100\right)}{125/100}+\frac{6}{10}$

$⟹$ $\frac{\left(x/4\right)-\left(1/40\right)}{1/8}=\frac{2x-\left(9/20\right)}{5/4}+\frac{3}{5}$

$⟹$ $2x-\frac{1}{5}=\frac{8x-\left(9/5\right)}{5}+\frac{3}{5}$.

Multiplying both sides by the LCM of the denominator, i.e. LCM of $5,5=25$, we get,
$⟹$ $50x-5=40x-9+15$

$⟹$ $50x-5=40x+6$.

Transposing $x$ term to one side, we get,

$⟹$ $50x-40x=6+5$
$⟹$ $10x=11$

$⟹$ $x=\frac{11}{10}$
$⟹$ $x=1.1$.

Hence, option $C$ is correct.