Rice worth Rs. 120 per kg and Rs. 130 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 150 per kg, what is the price of third variety per kg?
Show answer & explanation
Correct answer: A
Explanation
Given:
Price of the first variety = Rs. 120/kg
Price of the second variety = Rs. 130/kg
Price of the third variety = Rs. x/kg
Ratio = 1 : 1 : 2
Price of the mixture = Rs. 150/kg
Formula:
Price of the mixture = (Total cost) ÷ (Total quantity)
Total quantity = 1 + 1 + 2 = 4
Total cost = 120 × 1 + 130 × 1 + x × 2
= 120 + 130 + 2x
Price of the mixture
(250 + 2x) / 4 = 150
250 + 2x = 600
2x = 350
x = 175
Price of the third variety = Rs. 175/kg