A bucket of 16 litres capacity is filled to the brim with water. Water from this bucket is to be transferred into smaller utensils. A mug filled to capacity has to be dipped 50 times to completely transfer the water in the bucket into the utensils. What is the capacity of the mug ?

The correct option is 320 mL.

Let's solve the problem step-by-step to find the capacity of the mug.

Step 1: Understand the given values
Total capacity of the bucket = 16 litres
Number of times the mug is dipped to empty the bucket = 50 times

Step 2: Convert litres into millilitres (mL)
Since 1 litre = 1000 mL, we can convert the total volume of water in the bucket to millilitres:

$\text{Total volume}=16\times 1000\text{mL}=16000\text{mL}$

Step 3: Calculate the capacity of the mug
The total water of 16000 mL is transferred using 50 full mugs of water. Therefore, the capacity of one mug is calculated by dividing the total volume by the number of dips:

$\text{Capacity of the mug}=\frac{16000}{50}$

$\text{Capacity of the mug}=320\text{mL}$

Thus, the capacity of the mug is 320 mL.