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Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

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1. 

Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

[A]. Rs. 169.50
[B]. Rs. 170
[C]. Rs. 175.50
[D]. Rs. 180

Answer: Option C

Explanation:

 

Since first and second varieties are mixed in equal proportions.

So, their average price = Rs. 1-sym-oparen-h1 126 + 135 1-sym-cparen-h1 = Rs. 130.50
2

So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find x.

By the rule of alligation, we have:

Cost of 1 kg of 1st kindCost of 1 kg tea of 2nd kind
Rs. 130.50 Mean Price
Rs. 153
Rs. x
(x - 153) 22.50
x - 153 = 1
22.50

 x - 153 = 22.50

 x = 175.50

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