Cost of one meter of cloth :-
[tex] = 14\frac{1}{2} \: rupees[/tex]
Cost of :-
[tex]2 \frac{3}{4} \: metre \: of \: cloth : [/tex]
[tex] = 14\frac{1}{2} \times 2 \frac{3}{4} [/tex]
[tex] = \frac{29}{2} \times \frac{11}{4} [/tex]
[tex] = \frac{29 \times 11}{2 \times 4} [/tex]
[tex] = \frac{319}{8} [/tex]
[tex]\implies \color{hotpink} 39 \frac{7}{8} rupees[/tex]
Therefore , the correct option is :-
[tex]C)\color{hotpink} \: Rs. \: 39 \frac{7}{8} [/tex]
