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 -
A. Rs. 12390
B. Rs. 13290
C. Rs. 14868
D. Rs. 16257
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & {\text{A}}:{\text{B}} = 3:7, \cr & {\text{B}}:{\text{C}} = 6:5, \cr & = \left( {6 \times \frac{7}{6}} \right):\left( {5 \times \frac{7}{6}} \right) \cr & = 7:\frac{{35}}{6} \cr & {\text{A}}:{\text{B}}:{\text{C}} = 3:7:\frac{{35}}{6} \cr & = 18:42:35. \cr & {\text{Sum of ratio terms}} \cr & = \left( {18 + 42 + 35} \right) \cr & = 95 \cr & \therefore {\text{B's share}} = \cr & {\text{Rs}}{\text{.}}\left( {33630 \times \frac{{42}}{{95}}} \right) \cr & = {\text{Rs}}{\text{. }}14868 \cr} $$Related Questions on Ratio
If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to
A. 2 : 1
B. 14 : 3
C. 7 : 2
D. 1 : 2
If $$\frac{2}{3}$$ of A=75% of B = 0.6 of C, then A : B : C is
A. 2 : 3 : 3
B. 3 : 4 : 5
C. 4 : 5 : 6
D. 9 : 8 : 10
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