a) 30 kg

b) 15 kg

c) 10 kg

d) 4 kg

Correct answer is: c) 10 kg

Explanation

According to the question,
A bucket completely filled with water weighs is 30 kg
It means, 1 or whole bucket completely filled with water weighs is 30 kg
And, \large\frac{4}{5} of the bucket filled with water weighs is 26 kg
So that,
\left(1-\large\frac{4}{5}\right)\normalsize=\left(30-26\right) kg
\rightarrow\large\frac{\left(5-4\right)}{5}\normalsize=4 kg
\therefore\large\frac{1}{5}\normalsize=4 kg
Now,
\large\frac{1}{5} of the bucket’s water weighs is 4 kg
\therefore 1 or whole bucket’s water weighs is = \left(4\div\large\frac{1}{5}\right) kg
\rightarrow\left(4\times5\right) kg
\therefore 20 kg
So that, the weight of the empty bucket is =\left(30-20\right) kg
\rightarrow 10 kg
Ans: The weight of the empty bucket is 10 kg.