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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.

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Given: Two varieties of tea costing her Rs 234 and Rs 130 per kg.
Sum of ratios = Rs. 234+130 per kg = Rs. 364 per kg

Total weight of the mixture =84 kg
Weight of each variety of tea = \frac{234 \text { per } \mathrm{kg}}{364 \text { per } \mathrm{kg}} \times 84 \mathrm{~kg}=54 \mathrm{~kg} and \frac{130 \text { per } \mathrm{kg}}{364 \text { per } \mathrm{kg}} \times 84 \mathrm{~kg}=30 \mathrm{~kg}
 

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Ravindra Pindel

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