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In what ratio must  a grocer mix two varieties of tea worth Tk. 60 a kg and Tk. 65 a kg so that by selling the mixture at Tk. 20 a kg he may gain 10%?<

A 3 : 2

B 3 : 4

C 3 : 5

D 4 : 5

Solution

Correct Answer: Option A

Let he mixes the tea in ratio x : y  Therefore the cost price = 60x + 65y and the selling price = 68.20(x + y) Profit = SP - CP So 10/100 (60x + 65y) = 68.20(x + y) - (60x + 65y) or 6x + 6.5y = 8.20x + 3.20y 2.2x = 3.3y  x/y = 3:2

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