A) 1200
B) 1000
C) 1080
D) 900
Correct Answer: C
Solution :
Given \[\frac{1}{2}A=\frac{1}{2}B=\frac{1}{6}C\] Let \[\frac{1}{2}A=\frac{1}{2}B=\frac{1}{6}C=k\] \[\therefore \] \[A=2k,\,\,B=3k,\,\,C=6k\] \[i.e.\,\,A,\,\,B\] and \[C\] have amounts in the ratio \[A:B:C=2:3:6\] Now, \[2+3+6=11\] Hence, \[A's\]part\[=\frac{2}{11}\]of the total amount. \[B's\]part\[=\frac{3}{11}\]of the total amount. \[C's\]part\[=\frac{6}{11}\]of the total amount. We want to find the \[B's\] part. Also, the total amount is\[Rs.3960\]. \[\therefore \] \[B's\]part\[=\frac{3}{11}\times 3960=1080\]
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