Question : If Rs.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:
Option 1: Rs. 540
Option 2: Rs. 660
Option 3: Rs. 1,080
Option 4: Rs. 360
Correct Answer: Rs. 540
Solution :
Given: Half of A's part, one-third of B's part, and one-sixth of C's part are equal
$\frac{A}{2}=\frac{B}{3}=\frac{C}{6} = k$
So, $A = 2k, B =3k$ and $C = 6k$
The ratio of A, B, and C = $2k: 3k: 6k = 2: 3: 6$
Part of B = $\frac{3}{11}\times 1980$ = Rs. 540
Hence, the correct answer is Rs. 540.
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