correct answer is: c) 25 kg

Explanation

Here,
The ratio of two quantities is 5\;:\;11.
And, the consequent be 55 kg.
Let, the antecedent be ‘x’ kg.
According to the question,
5\;:\;11\;=\;x\;:\;55
\rightarrow\large\frac{5}{11}\normalsize=\large\frac{x}{55}
\rightarrow 11x=\left(5\times55\right)
\rightarrow x=\large\frac{\left(5\times55\right)}{11} _{[cross multiply]}
\rightarrow x=25
So that, the antecedent is 25 kg.
Ans: The antecedent is 25 kg.

You can phrase this math question in various forms:

1. When the ratio of two quantities is 5 : 11 and the second quantity is 55 kg, find the value of the first quantity.
2. If the ratio between two quantities is 5 : 11 and the second quantity is 55 kg, what is the amount of the first quantity?
3. If the ratio of two quantities is 5 : 11 and the consequent is 55 kg, determine the antecedent.