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In what ratio must a grocer mix two varieties of tea 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

Convert the selling price to a cost price first.

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

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

Using 68.20 directly as the mean would put it outside the range 60–65 and give a negative ratio - the signal that the gain must be removed first.

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