Of the three numbers, the ration of the first and the second is 8 : 9 and that of the second and third is 3 : 4. If the product of the first and third number is 2400. then the second number is = ?
A. 45
B. 40
C. 24
D. 10
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & {\text{A}}:{\text{B}}:{\text{C}} \cr & {\text{ }}8:9 \cr & \,\,\,\,\,\,\,\,\,3:4 \cr & \boxed{8:9:12} \cr & 8x:9x:12x \cr & \therefore 8x \times 12x = 2400 \cr & \Rightarrow {x^2} = \frac{{2400}}{{12 \times 8}} \cr & \Rightarrow x = 5 \cr & \therefore {\text{B}} = 9 \times 5 = 45 \cr} $$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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