₹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?
Answer & explanation
Correct answer: option 2
\(\frac{1}{6}\) : \(\frac{1}{4}\) : \(\frac{1}{3}\) : \(\frac{1}{2}\)
⇒ 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.