If a : b = c : d, then $$\frac{{{\text{ma}} + {\text{nc}}}}{{{\text{mb}} + {\text{nd}}}}$$ is equal to -
A. m : n
B. dm : cn
C. an : mb
D. a : b
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {\text{Let }}\frac{a}{b} = \frac{c}{d} = k \cr & {\text{Then,}} \cr & \Rightarrow a = bk,\,c = dk \cr & \therefore \frac{{ma + nc}}{{mb + nd}} \cr & = \frac{{mbk + ndk}}{{mb + nd}} \cr & = \frac{{k\left( {mb + nd} \right)}}{{\left( {mb + nd} \right)}} \cr & \Rightarrow k = \frac{a}{b} \cr & \Rightarrow a:b \cr} $$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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