In what ratio sugar of Rs 38 per kg and
Rs 30 per kg be mixed with each other
so that on selling mixture at Rs 35.2 per kg there will be a profit of 10%?

1:3

SP = 35.2 / KG | SP = 110% of CP | 35.2 = 110% * CP
Then CP = 32 / KG

Let the quantity in which Rs. 38/kg sugar is mixed be x kg and Rs. 30/kg sugar is mixed = y kg
Then,
38x + 30y = 32(x+y) | 38x - 32x = 32y - 30y | 6x = 2y
x:y = 1:3

79:42