In what ratio must a grocer mix two varieties of tea worth Tk.60 per kg and Tk.80 per kg that by selling the mixture at Tk.68.20per kg he may gain 10%?
In what ratio must a grocer mix two varieties of tea worth Tk.60 per kg and Tk.80 per kg that by selling the mixture at Tk.68.20per kg he may gain 10%? Correct Answer 3:2
***The question is erroneous... Let the mixture be made up of x kg tea of worth TK 60 per kg and y kg tea of worth TK. 80 per kg. Total cost price = 60x + 80y Total selling price = 68.2(x + y) Now, {68.2(x + y) - (60x + 80y)} / (60x + 80y) = 10/100 or, (68.2x + 68.2y - 60x - 80y) / (60x + 80y) = 1/10 or, (8.2x - 11.8y) / (60x + 80y) = 1/10 or, 82x - 118y = 60x + 80y or, 82x - 60x = 80y + 118y or, 22x = 198y or, x / y = 198 / 22 or, x / y = 9 / 1 So, x : y = 9 : 1
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Feb 20, 2025