A company sells $1$litre of packed water for Rs$16$. A shopkeeper buys $384$liters of packed water. How much does he pay?

Given:

S.P. of $1$-litre water = Rs$16$

No. of litres of packed water bought by shopkeeper = $384$

To find:

Cost of $384$litres of packed water.

Calculation:

S.P. of $1$-litre water = Rs$16$

By using the cross multiplication method,

Cost of $384$litres of packed water =Rs$384\times 16$

Solving the multiplication,

$384\times 16=384\times (10+6)$

⟹ $384\times 16=(384\times 10)+(384\times 6)$-----(1)

⟹ $384\times 10=3840$-----(2)

⟹ $384\times 6=2304$-----(3)

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

$384\times 16=3840+2304$

                $=6144$

Therefore, the cost of $384$litres of packed water is Rs$6144$.

Hence, the correct option is B.