The present of A, B and C are in the ratio of 8 : 14 : 22 respectively. The present ages of B, C and D are in the ratio of 21 : 33 : 44 respectively. Which of the represents the ratio of the present ages of A, B, C and D respectively?
A. 12 : 21 : 36 : 44
B. 12 : 21 : 33 : 44
C. 12 : 22 : 31 : 44
D. Cannot be determine
E. None of these
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & {\text{A}}:{\text{B}}:{\text{C}} = 8:14:22, \cr & {\text{B}}:{\text{C}}:{\text{D}} = 21:33:44 \cr & = \left( {21 \times \frac{2}{3}} \right):\left( {33 \times \frac{2}{3}} \right):\left( {44 \times \frac{2}{3}} \right) \cr & = 14:22:\frac{{88}}{3}. \cr & \therefore A:B:C:D = 8:14:22:\frac{{88}}{3} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 24:42:66:88 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 12:21:33:44 \cr} $$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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