One quality of rice at ₹45 per kg is mixed with another quality at a certain rate in the ratio of 3:2. If the mixture so formed is worth ₹50 per kg, what is the rate per kg of the second quality of rice?

Correct option is B

Given:
Rate of one quality of rice = Rs. 45 per kg
Ratio of their quantity = 3: 2
Concept Used:
The cost of the mixture is the weighted average of the costs of the two types of rice.
Solution:
Let the rate per kg of 2^nd type rice be A per kg.
Let the quantity of 1^st rice = 3x
and the quantity of 2^nd rice = 2x
According to question,
45×3x+A ×2x=50×(3x+2x)
135x+ 2Ax = 50 × 5x
2A = 115
A = 57.5
Rate per kg of 2^nd type rice be Rs. 57.5 per kg.
Alternate Method:
By using mixture and alligation concept.