In what ratio must be a grocer mix two varieties of tea worth Rs. 60 a kg and…

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In what ratio must be 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% ?

  1. A.

    3 : 4

  2. B.

    3 : 2

  3. C.

    2 : 5

  4. D.

    3 : 5

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Correct answer: B

Step 1: Find the cost price (CP) corresponding to the given selling price and profit.

Selling price (SP) = Rs 68.20; Profit = 10%.

CP = SP × 100/(100 + Profit%) = 68.20 × 100/110 = 6820/110 = Rs 62.

Step 2: Use the allegation method to find the mixing ratio of the two varieties costing Rs 60 and Rs 65.

  • Difference between Rs 65 and CP (Rs 62): 65 − 62 = 3

  • Difference between CP (Rs 62) and Rs 60: 62 − 60 = 2

Therefore the two varieties should be mixed in the ratio 3 : 2.

Answer: 3 : 2

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