Question
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:
Answer: Option C
Cost of 1 kg of 1st kindCost of 1 kg tea of 2nd kind
Rs. 130.50
Mean Price
Rs. 153
Rs. x
(x - 153)
22.50
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Since first and second varieties are mixed in equal proportions.
So, their average price = Rs. = 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 kindCost of 1 kg tea of 2nd kind
Rs. 130.50
Mean Price
Rs. 153
Rs. x
(x - 153)
22.50
\(\frac{x-153}{22.50}=1\)
x - 153 = 22.50
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