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Answer :
Final answer:
The price per Kg of the third variety of tea, calculated using the concept of weighted averages, is Rs 175.50 when mixed with two other varieties in the ratio 1:1:2, resulting in a mixture worth Rs 153 per Kg.
Explanation:
The question asks us to calculate the price per Kg of the third variety of tea when tea of two different prices is mixed with it in the ratio 1 : 1 : 2 to form a mixture worth Rs 153 per Kg. To find the price of the third variety, we use the concept of weighted averages.
Firstly, let's denote the price per Kg of the first tea as T1 = Rs 126, the second tea as T2 = Rs 135, and the third variety as T3, which we're trying to find. Since the teas are mixed in the ratio 1:1:2, we can express the average price of the mixture as:
(T1 + T2 + 2*T3) / 4 = Rs 153
Substituting the known values:
(126 + 135 + 2*T3) / 4 = 153
261 + 2*T3 = 612
2*T3 = 612 - 261
2*T3 = 351
T3 = 351 / 2
T3 = Rs 175.50
Therefore, the price per Kg of the third variety of tea is Rs 175.50.
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