Rs. 2010 are to be divided among A, B, C in such a way that if A gets Rs. 5, then B must get Rs. 12 and if B gets Rs. 4, then C must get Rs. 5.50. The share of C will exceed that of B by -
A. Rs. 270
B. Rs. 360
C. Rs. 430
D. Rs. 620
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & {\text{A}}:{\text{B}} = 5:12 \cr & {\text{B}}:{\text{C}} = 4:5.50 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\, = 12:16.5 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\, = 12:\frac{{33}}{2} \cr & {\text{A}}:{\text{B}}:{\text{C}} = 5:12:\frac{{33}}{2} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10:24:33 \cr & {\text{Sum of ratio terms}} \cr & = 10 + 24 + 33 \cr & = 67 \cr & {\text{C's share}} = {\text{Rs}}{\text{.}}\left( {2010 \times \frac{{33}}{{67}}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}990 \cr & B'{\text{s share}} = {\text{Rs}}{\text{.}}\left( {2010 \times \frac{{24}}{{67}}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}.720 \cr & {\text{Required difference}} \cr & = {\text{Rs}}{\text{.}}\left( {990 - 720} \right) \cr & = {\text{Rs}}{\text{. }}270 \cr} $$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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