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. 1080
Option 4: Rs. 360
Correct Answer: Rs. 540
Solution :
According to the question, $\frac{A}{2}=\frac{B}{3}=\frac{C}{6}=k$
Let $A= 2k, B = 3k,$ and $C= 6k$
$\therefore$ A : B : C = 2 : 3 : 6
The sum of the terms of the ratio = 2 + 3 + 6 = 11
Total amount = Rs. 1980
$\therefore$ B’s share = Rs.$(\frac{3}{11}×1980)$ = Rs. $ 540$
Hence, the correct answer is Rs. 540.
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