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Tea worth of Rs. 135/kg & Rs. 126/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____?
169.50
175.50
179.50
none of these
Since first second varieties are mixed in equal proportions, so their average price = Rs.(126+135)/2= Rs.130.50
So, Now 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'.
Cost of 1 kg tea of 1st kind Cost of 1 kg tea of 2nd kind
130.50 x
153
x-153 22.50
x-153/22.50 = 1 => x - 153 = 22.50 => x=175.50.
Hence, price of the third variety = Rs.175.50 per kg.
Hence, option 2 is the correct answer.
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