Question

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

• A. $\frac{1}{2}$
• B. $\frac{6}{3}$
• C. $\frac{1}{3}$
• D. $\frac{2}{3}$

Answer 1

The correct option is A $\frac{1}{2}$

Que If $A:B=3:4,B:C=2:3,A:C=?$

$\to \frac{A}{B}=\frac{3}{4},\frac{B}{C}=\frac{2}{3}$

So,

$A:C=\frac{A}{C}=\frac{A\times B}{C\times B}$ $(\because$ multiple & divide by B)

$\therefore A:C=\frac{A\times B}{B\times C}$

$\therefore A:C=\frac{A}{B}\times \frac{B}{C}$

$=\frac{3}{4}\times \frac{2}{3}$

$\therefore A:C=\frac{1}{2}$

$\therefore A:C=1:2$