If 5a + 3b : 2a - 3b = 23 : 5, then the value of a : b is
A. 1 : 2
B. 1 : 4
C. 2 : 1
D. 4 : 1
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & = \frac{{5a + 3b}}{{2a - 3b}} = \frac{{23}}{5} \cr & \Rightarrow 5\left( {5a + 3b} \right) = 23(2a - 3b) \cr & \Rightarrow 25a + 15b = 46a - 69b \cr & \Rightarrow 21a = 84b \cr & \Rightarrow \frac{a}{b} = 4. \cr & {\text{Hence}},\,a:b = 4:1 \cr} $$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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