Question

The ratio of d:c is 3:1, the sum of d and c is equal to s, then the value of d in terms of s is d:c?

• A. $\frac{3}{4}s$
• B. $\frac{4}{3}s$
• C. $s-3$
• D. $s-4$

Answer 1

The correct option is A $\frac{3}{4}s$

Ratio of $d:c=3:1$

Let the values of $d$ and $c$ be $3x,x$ respectively.

$d=3x,$ $c=x$

$\Rightarrow x=\frac{d}{3}$ and

$\Rightarrow x=c$

Sum of $d$ and $c$ is $s$

$\Rightarrow d+c=s$

$\Rightarrow 3x+x=s$

$\Rightarrow s=4x$

As $x=\frac{d}{3}$, $s=4x=4\times \frac{d}{3}=\frac{4d}{3}$

$\Rightarrow d=\frac{3}{4}s$