In what ratio must a shopkeeper mix two types of rice worth ₹55 per kg and ₹70 per kg, so that the average cost of the mixture is ₹65 per kg?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 1 : 2.
Given:
Two types of rice worth ₹55 per kg and ₹70 per kg are mixed to get the mixture worth ₹65 per kg.
Calculations:
Let the quantity of first type of rice be x and second type of rice be y.
According to the question;
⇒ 55x + 70y = 65(x + y)
⇒ 55x + 70y = 65x + 65y
⇒ 10x = 5y
⇒ x/y = 1/2
Hence, the required ratio = 1 : 2