$\begin{array}{l}\text{Here,\hspace{0.17em}\hspace{0.17em}}\\ \Rightarrow \text{14.2\% of 5500 + 15.6\% of ? = 1795}\\ \\ \Rightarrow \frac{142}{100}\times 5500+15.6of?=1795\\ \\ \Rightarrow \text{15.6\% of\hspace{0.17em}?= 1795}-\text{142}\times \text{55}\\ \\ \text{ = 1795 - 781 }\\ \\ \Rightarrow \text{15.6\% of ? = 1014}\\ \\ \Rightarrow \text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}?=}\frac{1014\times 100}{15.6}\\ \\ =65\times 100\\ \\ =6500\end{array}$

Hence, Option A is correct.