₹4,500 is divided among four friends in the ratio of $\frac{1}{6} : \frac{1}{4} : \frac{1}{3} : \frac{1}{2}$. What is the amount received by the person who got the smallest share?

₹600

\(\frac{1}{6}\) : \(\frac{1}{4}\) : \(\frac{1}{3}\) : \(\frac{1}{2}\)

⇒ Taking LCM = 12,

⇒ Ratios = 2 : 3 : 4 : 6

⇒ (2 + 3 + 4 + 6) units = Rs. 4500

⇒ 15 units = Rs. 4500

⇒ 1 unit = Rs. 300

⇒ Smallest share = 2 x 300 = Rs. 600.