A tea merchant blends two varieties of tea costing her Rs 234 and Rs 130 per kg in the ratio of their costs. If the weight of the mixture is 84 kg, then find the weight of each variety of tea.
54 kg and 30 kg
Weights are in inverse ratio of costs: 130 : 234 = 65 : 117. Sum parts = 182. For 84 kg: 1 part = 84/182 = 0.461... kg. Hence weights: 117×(84/182)=54 kg and 65×(84/182)=30 kg.