Hariya took a loan to build his house. He has to pay back Rs $7780$ every month for two years. How much will he pay back in $2$ years?

Given:

Amount of loan that is to be paid every month = Rs $7780$

To find:

Amount of loan he will pay in $2$ years

Calculation:

No. of months in one year  $=12$

No. of months in $2$ years  $=2\times 12$  $=24$ months

Amount of loan that is to be paid every month = Rs $7780$

By using the cross multiplication method, we get,

Amount of loan that is to be paid in $2$ years =  Rs $7780\times 24$

Solving the multiplication,

$7780\times 24=7780\times (20+4)$

⟹ $7780\times 24=(7780\times 20)+(7780\times 4)$-----(1)

⟹ $7780\times 20=155600$-----(2)

⟹ $7780\times 4=31120$-----(3)

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

$7780\times 24 =5520+276$

                    = $186720$                                                                

Therefore, the amount to be paid in $2$ years is Rs$186720$.

Hence, the correct option is A.