A man divides ₹1,100 among three kids in the ratio $\frac{1}{2} : \frac{2}{5} : \frac{3}{4}$. What is the share of the kid who got the maximum share ? 

₹500

Here,

\(\frac{1}{2}\) : \(\frac{2}{5}\) : \(\frac{3}{4}\)

⇒ Taking LCM 20.

⇒ 10 x 1 : 4 x 2 : 5 x 3 = 10 : 8 : 15

⇒ (10 + 8 + 15) units = 1100

⇒ 33 units = 1100

⇒ 1 unit = \(\frac{1100}{33}\) = \(\frac{100}{3}\)

⇒ Maximum share = 15 x \(\frac{100}{3}\) = Rs. 500