Question

If $177$ is divided into $3$ parts in the ratio $\frac{1}{2}:\frac{2}{3}:\frac{4}{5}$, then the second part is

• A. $75$
• B. $45$
• C. $72$
• D. $60$

Answer 1

Answer: (D)

$60$

$\frac{1}{2}:\frac{2}{3}:\frac{4}{5}$ LCM of $2,3$ and $5$ is $30$.
Multiplying each term by $30$.
$\frac{1}{2}\times 30:\frac{2}{3}\times 30:\frac{4}{5}\times 30=15:20:24$
$2ndpart=\frac{20}{15+20+24}=\frac{20}{59}\times 177=60$.