A large bowl contains a mixture of Himalayan Pink Salt and common salt. When \(1\) kg of common salt is added to the bowl, the ratio, by mass, of Himalayan Pink Salt to common salt becomes \(1 : 2\). When \(1\) kg of Himalayan Pink Salt is added to the new mixture, the ratio becomes \(2 : 3\). Find the ratio of Himalayan Pink Salt to common salt in the original mixture.