Answer with Explanation:
Since first and second varieties are mixed in equal proportions.
So, their average price = Rs.(126 + 135 /2) = Rs. 130.50
So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find x.
By the rule of Alligation, we have:
Cost of 1 kg of 1st kind :=>Rs. 130.50 (x - 153)
Cost of 1 kg tea of 2nd kind :=>Rs.X 22.50
Mean Price :=> Rs. 153
Therefore,
x - 153/22.50 = 1
=> x - 153 = 22.50
=> x = 175.50
Since first and second varieties are mixed in equal proportions.
So, their average price = Rs.(126 + 135 /2) = Rs. 130.50
So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find x.
By the rule of Alligation, we have:
Cost of 1 kg of 1st kind :=>Rs. 130.50 (x - 153)
Cost of 1 kg tea of 2nd kind :=>Rs.X 22.50
Mean Price :=> Rs. 153
Therefore,
x - 153/22.50 = 1
=> x - 153 = 22.50
=> x = 175.50