Multiple choice

In what ratio must a person mix three kind of tea each of which has a price of Rs. 50, Rs. 60 and Rs. 100 per kg respectively such that the mixture cost him 80 Rs./kg?

  1. 2 : 2 : 5

  2. 1 : 1 : 1

  3. 2 : 3 : 3

  4. 2 : 1 : 1

  5. 3 : 2 : 2
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the ratio be a:b:c. Using weighted average: (50a + 60b + 100c)/(a + b + c) = 80. This simplifies to 50a + 60b + 100c = 80a + 80b + 80c, giving 30a + 20b = 20c, or 3a + 2b = 2c. Checking option A (2:2:5): 3(2) + 2(2) = 10 = 2(5). This satisfies the equation. Verification: (2×50 + 2×60 + 5×100)/(2+2+5) = (100+120+500)/9 = 720/9 = Rs. 80/kg.

Keep practicing — related questions