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The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:

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1. 

The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:

[A]. Rs. 18
[B]. Rs. 18.50
[C]. Rs. 19
[D]. Rs. 19.50

Answer: Option A

Explanation:

 

Let the price of the mixed variety be Rs. x per kg.

By rule of alligation, we have:

Cost of 1 kg of Type 1 riceCost of 1 kg of Type 2 rice
Rs. 15 Mean Price
Rs. x
Rs. 20
(20 - x) (x - 15)
(20 - x) = 2
(x - 15) 3

 60 - 3x = 2x - 30

 5x = 90

 x = 18.

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