The prices of tea and coffee per kg were the same in june. In August the price of coffee shot up by 20% and that of tea dropped by 20%. if in August , a mixture containing equal quantities of tea and coffee costs 50/kg. how much did a kg of coffee cost in june ? Choose the correct answer:  A) 45  B) 50  C) 40  D) 35  E) 30
Let the price of tea and coffee be x per kg in June.   Price of tea in August = 1.2x   Price of coffee in August = 0.8x .   In July the price of 1/2 kg (500gm) of tea and 1/2 kg (500gm) of coffee (equal quantities) = 50   1.2x(1/2) + 0.8x(1/2) = 50   =&gt; x =50   50
<result>B</result>
The prices of tea and coffee per kg were the same in june. In August the price of coffee shot up by 20% and that of tea dropped by 20%. if in August , a mixture containing equal quantities of tea and coffee costs 50/kg. how much did a kg of coffee cost in june ?