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Question
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.
Solution
The ratio of the costs of two varieties of tea is Rs. 234 per kg : Rs. 130 per kg.
Sum of ratios = Rs. (234 + 130) per kg
= Rs. 364 per kg.
Total weight of the mixture = 84 kg
∴ The weights of each variety of tea is given by
`(234 "per kg")/(364 "per kg") xx 84` kg = 54 kg
And `(130 "per kg")/(364 "per kg") xx 84` kg = 30 kg
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