Sukhi works on a farm. He is paid Rs $69$ for one day. If he works for $84$ days, how much will he earn?

Given:

Wage for one day $=Rs69$

No. of days worked $=84$

To find:

Total earning for $84$days

Calculation:

Wage for one day $=Rs69$

∴ Total earning for $84$ days $=?$

By using the cross multiplication method, we get,

Total earning for $84$ days $=Rs69\times 84$

Solving the multiplication,

$69\times 84=69\times (80+4)$

⟹ $69\times 84=(69\times 80)+(69\times 4)$-----(1)

⟹ $69\times 80=5520$-----(2)

⟹ $69\times 4=276$-----(3)

Substituting values of (2) & (3) in (1), we get,

$69 \times 84 =5520+276$

                    $=5796$

Therefore, the total earnings of Sukhi for $84$ days is Rs $5796$. 

Hence, the correct option is A.