1980 is divided among A, B and C so that half of A’s part, one-third of B’s part and one-sixth of C’s part are equal. Then B’s part is

According to the question,

$\frac{\mathrm{A}}{2}=\frac{\mathrm{B}}{3}=\frac{\mathrm{C}}{6}$

∴ A : B : C = 2 : 3 : 6

Sum of the terms of ratio

= 2 + 3 + 6 = 11

Total amount = Rs. 1980

$\therefore$ B’s share $=$ Rs. $\left(\frac{3}{11} \times 1980\right)=$ Rs. 450