Question

If $A:B=7::9$ and $B:C=6:7$ then $A:C$ is

• A. $2:3$
• B. $3:2$
• C. $1:3$
• D. $5:3$

Answer 1

The correct option is A $2:3$

$A:B=7:9$

$B:C=6:7$

$A:C=?$

Now, $A:B=7:9$

or, $\frac{A}{B}=\frac{7}{9}$ ...(1)

& $B:C=6:7$

or, $\frac{B}{C}=\frac{6}{7}$ ...(2)

Multiplying (1) & (2)

$\frac{A}{B}\times \frac{B}{C}=\frac{7}{9}\times \frac{6}{7}$

or, $\frac{A}{C}=\frac{2}{3}$

or, $A:C=2:3$

$\therefore$ option $A$ is correct.