Answer :

Let the two varieties of tea be ‘A’ and ‘B’


Cost of ‘A’ = 234 Rs


Cost of ‘B’ = 130 Rs


Ratio of their costs = =


Divide numerator and denominator by 2


Ratio of their costs =


Divide numerator and denominator by 13


Ratio of their costs = …(i)


Weight of mixture = 84 kg


Let the weight of type ‘A’ tea in the mixture be ‘a’ and as total is 84 the weight of type ‘B’ tea would be (84 – a)


Now given that the ratio of two varieties of tea in the mixture is same as the ratio of their costs


Using (i) and given condition


=


Cross multiply


9 × (84 – a) = 5a


756 – 9a = 5a


756 = 14a


a =


Divide numerator and denominator by 7 we get


a = = 54 kg


84 – a = 84 – 54 = 30 kg


Therefore, weight of 234 Rs/kg tea in mixture is 54 kg and weight of 130 Rs/kg tea in mixture is 30 kg


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