Question

If $2A=3B$ and $4B=5C$ then $A:C=?$

• A. $8:15$
• B. $15:8$
• C. $4:5$
• D. $3:4$

Answer 1

The correct option is B

$15:8$

As it is given that $2A=3B$ and $4B=5C$

Here

$$\begin{gathered} 2A=3B \\ \Rightarrow A=\frac{3B}{2} \end{gathered}$$

And $4B=5C$

$\Rightarrow C=\frac{4B}{5}$

Now,

$$\begin{gathered} \frac{A}{C}=\frac{{\displaystyle \frac{3B}{2}}}{{\displaystyle \frac{4B}{5}}}=\frac{3B}{2}\times \frac{5}{4B}=\frac{15}{8} \\ \Rightarrow A:C=15:8 \end{gathered}$$

Hence, correct option is (B)