The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If bo

Question

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:

Options:

A . Rs. 18

B . Rs. 18.50

C . Rs. 19

D . Rs. 19.50

Answer: Option A

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 rice
Cost 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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