Question

If $A:B=\frac{1}{2}:\frac{3}{8},B:C=\frac{1}{3}:\frac{5}{9},C:D=\frac{5}{6}:\frac{3}{4}$, then the ratio $A:B:C:D$ is

• A. $4:6:8:10$
• B. $6:4:8:10$
• C. $6:8:9:10$
• D. $8:6:10:9$

Answer 1

Answer: (D)

$8:6:10:9$

$A:B=\frac{1}{2}:\frac{3}{8}=4:3,$

$B:C=\frac{1}{3}:\frac{5}{9}=3:5,$

$C:D=\frac{5}{6}:\frac{3}{4}=10:9,$

$\Rightarrow A:B=4:3,B:C=3:5andC:D=5:\frac{9}{2}$

$\Rightarrow A:B:C:D=4:3:5:\frac{9}{2}$

$=8:6:10:9$