Question

The profits of a firm are to be distributed in a suitable ratio. Suitable ratio is the ratio whose terms differ by $40$ and the measure of which is $2/7$. Which of the following shows suitable ratio?

• A. $280:2$
• B. $16:56$
• C. $80:7$
• D. $40:14$

Answer 1

Answer: (B)

$16:56$

Let the ratio is $x:(x+40)$

Then $\frac{x}{x+40}=\frac{2}{7}$

$\Rightarrow 7x=2x+80$

$\Rightarrow 7x-5x=80$

$\Rightarrow 2x=80$

$\Rightarrow x=40$

Required ratio $=16:(40+16)=16:56$