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