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Rs. 33630 are divided among A, B and C in such a manner that the ratio of the amount of A to that of B is 3 : 7 and the ratio of the amount of B to that of C is 6 : 5. The amount of money received by B is -
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& {\text{A}}:{\text{B}} = 3:7, \cr
& {\text{B}}:{\text{C}} = 6:5, \cr
& = \left( {6 \times \frac{7}{6}} \right):\left( {5 \times \frac{7}{6}} \right) \cr
& = 7:\frac{{35}}{6} \cr
& {\text{A}}:{\text{B}}:{\text{C}} = 3:7:\frac{{35}}{6} \cr
& = 18:42:35. \cr
& {\text{Sum of ratio terms}} \cr
& = \left( {18 + 42 + 35} \right) \cr
& = 95 \cr
& \therefore {\text{B's share}} = \cr
& {\text{Rs}}{\text{.}}\left( {33630 \times \frac{{42}}{{95}}} \right) \cr
& = {\text{Rs}}{\text{. }}14868 \cr} $$
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