a) 17 kg

b) 10 kg

c) 27 kg

d) 20 kg

Correct answer is: b) 10 kg

#### Explanation

The entire part of bucket water quantity is 1.

So that, \left(1-\large\frac{4}{5}\right) part of the bucket weighs =\left(30-26\right) kg.

\rightarrow \large\left(\frac{5-4}{5}\right) part of the bucket water weighs = 4 kg

\rightarrow \large\frac{1}{5} part of the bucket water weighs = 4 kg

\therefore 1 or *full* bucket water weighs =\left(4\times\large\frac{5}{1}\right) kg

\rightarrow 20 kg.

But, according to the question, completely filled with water bucket weighs is 30 kg.

So that, the empty bucket weighs is =\left(30-20\right) kg

\rightarrow 10 kg.**Ans:** The empty bucket weighs is 10 kg.

##### An additional variation of this particular math query can be considered:

**Find out the weight of the empty bucket when partially filled with water, with known weights of 30 kg when full and 26 kg when 4/5 full.****Calculate the weight of an empty bucket when filled with water, given that it weighs 30 kg when full and 26 kg when 4/5 full.****Calculate the weight of the empty bucket based on its weights when full and 4/5 full, with known values of 30 kg and 26 kg respectively.****What is the weight of the empty bucket when filled with water, given that it weighs 30 kg when full and 26 kg when 4/5 full?**