​Simplify the given expression $$4\frac{1}{10}-[2\frac{1}{2}-\lbrace\frac{5}{6}-(\frac{2}{5}+\frac{3}{10})\rbrace]$$​​

Correct option is C

Given: 

$$4\frac{1}{10}-[2\frac{1}{2}-\lbrace\frac{5}{6}-(\frac{2}{5}+\frac{3}{10})\rbrace]$$ 

Concept Used: ​

BODMAS rule: 

​$$\begin{array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\ \hline Brackets &[],{}, () \\ \hline Orders, of & ^x(power), √ (root) , of \\ \hline Division & ÷ \\ \hline Multiplication & × \\ \hline Addition & + \\ \hline Subtraction & - \\ \hline \end{array}$$ 

Solution: 

$$4\frac{1}{10}-[2\frac{1}{2}-\lbrace\frac{5}{6}-(\frac{2}{5}+\frac{3}{10})\rbrace] \\ \ \\ = \frac{41}{10}-[\frac{5}{2}-\lbrace\frac{5}{6}-(\frac{7}{10})\rbrace] \\ \ \\ = \frac{41}{10}-[\frac{5}{2}-\lbrace\frac{4}{30}\rbrace]\\ \ \\ = \frac{41}{10}-\frac{71}{30} \\ \ \\ = \frac{52}{30} =\frac{26}{15}$$​​