Answer: The correct option is
(B) [tex]s=\dfrac{25}{12}.[/tex]
Step-by-step explanation: We are given to find the value of s from the following equation :
[tex]\dfrac{1}{2}+\dfrac{2}{5}s=s-\dfrac{3}{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the value of s, we must solve the given equation.
The solution of equation (i) is as follows :
[tex]\dfrac{1}{2}+\dfrac{2}{5}s=s-\dfrac{3}{4}\\\\\\\Rightarrow s-\dfrac{2}{5}s=\dfrac{1}{2}+\dfrac{3}{4}\\\\\\\Rightarrow \dfrac{5-2}{5}s=\dfrac{2+3}{4}\\\\\\\Rightarrow \dfrac{3}{5}s=\dfrac{5}{4}\\\\\\\Rightarrow s=\dfrac{25}{12}.[/tex]
Thus, the required value of s is [tex]\dfrac{25}{12}.[/tex]
Option (B) is CORRECT.
