A shopkeeper has three different types of 'Rice' varieties 'X', 'Y', and 'Z'. The cost price of variety 'X', variety 'Y', and variety 'Z' is Rs. 20 per kg, Rs. 24 per kg, and Rs. 30 per kg respectively. He mixes them and sells the resultant mixture at a profit of 20% at Rs. 30 per kg. If there is 4 kg of variety 'Z' in the final mixture then find the sum of the total quantity for variety 'X' and variety 'Y' in the resultant mixture.