The prices of tea and coffee per kg were the same in june.

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 ?

Quiz

Answer/Solution

50

Steps/Work

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
=> x =50
B