Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

Rs. 169.50
Rs. 170
Rs. 175.50
Rs. 180

Correct Answer: Rs. 175.50

Explanation:

Since first and second varieties are mixed in equal proportions.

So, their average price = Rs.	❨	126 + 135	❩	= Rs. 130.50
		2

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 1^st kind Cost of 1 kg tea of 2^nd kind
Rs. 130.50	Mean Price Rs. 153	Rs. x
(x - 153)		22.50

∴	x - 153	= 1
	22.50

⟹ x - 153 = 22.50

⟹ x = 175.50

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