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?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. Rs. 57.5.
The price of one quality of rice = ₹45/kg
Let one quality of rice be 3x and other quality of rice be 2x
The price of the mixture of rice is ₹50/kg
Let the price of the second quality of rice be P
According to the question
⇒ 45 × 3x + P × 2x = 50 × 5x
⇒ 135 + 2P = 250
⇒ 2P = 250 - 135
⇒ 2P = 115
⇒ P = 115/2 = ₹ 57.5