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IMAS 2023–2024 Junior Division — First Round Question 2

IMAS · IMAS 2023–2024 Junior Division — First Round

Question 2

Ann bought two types of rice: the first type costs 4 dollars per kg and the second type costs 5 dollars per kg. She mixed the two types of rice in some ratio, then she sold the mixture at 6 dollars per kg, making a 30% profit. What was the ratio (type 1 : type 2) of the mixture?
  1. $6:11$
  2. $3:5$
  3. $5:8$
  4. $3:4$
  5. $8:5$