Question

Mark (✓) against the correct answer
If 2A = 3B and 4B = 5C, then A : C = ?
(a) 4 : 3
(b) 8 : 15
(c) 3 : 4
(d) 15 : 8

Answer 1

The correct option is (d).
$$\begin{gathered} A=\frac{3B}{2} \\ C=\frac{4B}{5} \\ \therefore A:C=\frac{A}{C}=\frac{{\displaystyle \frac{3B}{2}}}{{\displaystyle \frac{4B}{5}}}=\frac{15}{8} \end{gathered}$$
Hence, A : C = 15 : 8