If $$\frac{x}{y} = \frac{3}{4}{\text{,}}$$ the ratio of (2x + 3y) and (3y - 2x) is = ?
A. 2 : 1
B. 3 : 2
C. 3 : 1
D. 1 : 1
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & {\text{Given }} \cr & \frac{x}{y} = \frac{3}{4} \cr & \Rightarrow \frac{{2x + 3y}}{{3y - 2x}} \cr & = \frac{{2 \times 3 + 3 \times 4}}{{3 \times 4 - 2 \times 3}} \cr & = \frac{{6 + 12}}{{12 - 6}} \cr & = \frac{{18}}{6} \cr & = 3:1 \cr} $$This is the required ratio 3 : 1
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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