Question

Solve it:-
$a:b$ is $1\frac{2}{3}:3\frac{1}{4}$ and $b:c$ is $2\frac{1}{2}$
Also,find $a:b:c$

• A. $100:195:88$
• B. $100:895:78$
• C. $800:195:78$
• D. $100:195:78$

Answer 1

The correct option is D $100:195:78$

$\frac{a}{b}=\frac{\frac{5}{3}}{\frac{13}{4}}=\frac{20}{39}$

$\frac{b}{c}=\frac{5}{2}$

Hence, Let $a=20p,b=39p$

and putting $b=39p$ in $\frac{b}{c}=\frac{5}{2}$

we get

$\frac{39p}{c}=\frac{5}{2}\Rightarrow c=\frac{78p}{5}$

Hence, $a:b:c=20p:39p:\frac{78p}{5}=20p\times \frac{5}{p}:39p\times \frac{5}{p}:\frac{78p}{5}\times \frac{5}{p}=100:195:78$