Question

Mark the correct alternative in the following question:

If a : b = 3 : 4, then 4a : 3b =

(a) 4 : 3 (b) 3 : 4 (c) 1 : 1 (d) None of these

Answer 1

$$\begin{gathered} \mathrm{As},a:b=3:4 \\ \Rightarrow \frac{a}{b}=\frac{3}{4} \\ \mathrm{So},4a:3b=\frac{4a}{3b} \\ =\frac{4}{3}\times \frac{a}{b} \\ =\frac{4}{3}\times \frac{3}{4} \\ =\frac{12}{12} \\ =\frac{1}{1} \\ =1:1 \end{gathered}$$

Hence, the correct alternative is option (c).