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In what ratio must a grocer mix teas worth Rs.60 a kg and Rs.65 a kg.So that by selling the mixture at Rs. 68.20 a kg, He may gain 10%?

  • A.3:2
  • B.3:4
  • C.3:5
  • D.4:5

Answer: A

Remove the profit first to get the cost price of the mixture.

\[ \text{CP} = \frac{68.20}{1.10} = \text{Rs. } 62 \]

\[ \frac{\text{Rs. 60 tea}}{\text{Rs. 65 tea}} = \frac{65 - 62}{62 - 60} = \frac{3}{2} \]

The mean must lie between the two prices; 68.20 does not, which is why it cannot be used directly.

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