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].
[B].
[C].
[D].
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 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.