Question

Divide $₹690$ among three friends $A,B$, and $C$ in the ratio $\frac{1}{8}:\frac{1}{3}:\frac{1}{2}$.

• A. $90,24,360$
• B. $24,90,360$
• C. $24,19,36$
• D. None

Answer 1

Answer: (A)

The LCM of the denominators is 21 .
$\Rightarrow \frac{1}{8}\times 24:\frac{1}{3}\times 24:\frac{1}{2}\times 24=3:8:12$
Sum of the terms of the ratio $=3+8+12=23$
$\text{ A’s share }=₹\left(690\times \frac{3}{23}\right)=₹90$
$\text{ B’s share }=₹\left(690\times \frac{8}{23}\right)=₹24$
$\text{ C’s share }=₹\left(690\times \frac{12}{23}\right)=₹360$