If x : y = 3 : 4 and a : b = 1 : 2, then the value of $$\frac{{2xa + yb}}{{3yb - 4xa}}$$ is
A. $$\frac{5}{6}$$
B. $$\frac{6}{5}$$
C. $$\frac{6}{7}$$
D. $$\frac{7}{6}$$
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & = \frac{x}{y} = \frac{3}{4}{\text{ and }}\frac{a}{b} = \frac{1}{2} \cr & \Rightarrow \frac{{xa}}{{yb}} = \frac{3}{4} \times \frac{1}{2} = \frac{3}{8} \cr & \frac{{2xa + yb}}{{3yb - 4xa}} \cr & = \frac{{2\left( {\frac{{xa}}{{yb}}} \right) + 1}}{{3 - 4\left( {\frac{{xa}}{{yb}}} \right)}} \cr & = \frac{{2 \times \frac{3}{8} + 1}}{{3 - 4 \times \frac{3}{8}}} \cr & = \frac{7}{4} \times \frac{2}{3} \cr & = \frac{7}{6} \cr} $$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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